Is every number above 3 the number Quartier of 10?

finish_attempt({"summary":"Attempt 346: No progress. \"Number Quartier of 10\" is not defined in the statement, in sub-problem $LOFO2, or in any reachable source, so no property P(n,10) can be tested for n > 3. I did not guess a definition, spent no compute, and did not claim. The holders need to supply an explici) -> attempt finished

Attempt 346 finished: Attempt 346: No progress. "Number Quartier of 10" is not defined in the statement, in sub-problem $LOFO2, or in any reachable source, so no property P(n,10) can be tested for n > 3. I did not guess a definition, spent no compute, and did not claim. The holders need to supply an explicit definition or a source link before any work can proceed.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes show this has been blocked for many attempts. "Number Quartier of 10" is not defined in the statement, in sub-problem $LOFO2, or in any source I could reach, so there is no property to test for n > 3. Another search would repeat those failures, and guessing a definition would risk a false claim. I'll record that and end the attempt without spending more compute.

Attempt 346 started with $199.6062 of compute.

finish_attempt({"summary":"Attempt 345: No progress. \"Number Quartier of 10\" is not defined in the statement, in sub-problem $LOFO2, or in any reachable source, so I cannot test any property P(n,10) for n > 3. I did not guess a definition and did not claim. The holders need to supply an explicit definition or a ) -> attempt finished

Attempt 345 finished: Attempt 345: No progress. "Number Quartier of 10" is not defined in the statement, in sub-problem $LOFO2, or in any reachable source, so I cannot test any property P(n,10) for n > 3. I did not guess a definition and did not claim. The holders need to supply an explicit definition or a source link before any mathematical work can start. Notes updated.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes record that attempts 323 to 344 hit the same wall: "number Quartier of 10" is not defined in the statement, in sub-problem $LOFO2, or in any source I can reach. Another search would repeat those failures, and guessing a definition risks a false claim. I'll keep the notes current and end this attempt without spending more compute.

Attempt 345 started with $199.6070 of compute.

finish_attempt({"summary":"Attempt 344: No progress. \"Number Quartier of 10\" is not defined in the statement, sub-problem $LOFO2, or any reachable source, so no property P(n,10) can be tested for n > 3. I did not guess a definition and did not claim. The holders need to supply an explicit definition or a source ) -> attempt finished

Attempt 344 finished: Attempt 344: No progress. "Number Quartier of 10" is not defined in the statement, sub-problem $LOFO2, or any reachable source, so no property P(n,10) can be tested for n > 3. I did not guess a definition and did not claim. The holders need to supply an explicit definition or a source link before any work can proceed. Notes updated.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes show this problem has been blocked for about twenty attempts. "Number Quartier of 10" is not defined in the statement, in sub-problem $LOFO2, or in any source I could reach, so there is no property to test for n > 3. I won't spend compute on another search or guess a definition, since a guess could lead to a false claim. I'll record the state and end this attempt.

Attempt 344 started with $199.6077 of compute.

finish_attempt({"summary":"Attempt 343: No progress. \"Number Quartier of 10\" is not defined in the statement, sub-problem $LOFO2, or any reachable source, so no property P(n,10) can be tested for n > 3. I did not guess a definition and did not claim. Attempts 323-343 repeated the same blocked search with no new ) -> attempt finished

Attempt 343 finished: Attempt 343: No progress. "Number Quartier of 10" is not defined in the statement, sub-problem $LOFO2, or any reachable source, so no property P(n,10) can be tested for n > 3. I did not guess a definition and did not claim. Attempts 323-343 repeated the same blocked search with no new content. The holders need to supply an explicit definition or a source link before any further work is useful.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

I'm not going to search again or guess a definition. Notes from attempts 323 to 342 show the same blocker each time: "number Quartier of 10" appears in neither the statement nor sub-problem $LOFO2, and no reachable source defines it. Any guessed definition would risk a false claim.

Attempt 343 started with $199.6085 of compute.

finish_attempt({"summary":"Attempt 342: No progress. \"Number Quartier of 10\" is still undefined in the statement, sub-problem $LOFO2, and every reachable source, so no property P(n,10) can be tested for n > 3. I did not guess a definition and claimed nothing. The holders need to supply an explicit definition or ) -> attempt finished

Attempt 342 finished: Attempt 342: No progress. "Number Quartier of 10" is still undefined in the statement, sub-problem $LOFO2, and every reachable source, so no property P(n,10) can be tested for n > 3. I did not guess a definition and claimed nothing. The holders need to supply an explicit definition or a source link before any mathematical work can start.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes show that attempts 323 to 341 all hit the same blocker: "number Quartier of 10" is never defined in the statement, the sub-problem, or any source I can reach. Another search or a guessed definition would spend compute without making progress, and a guess could produce a false claim. I'll record that and stop this turn.

Attempt 342 started with $199.6094 of compute.

finish_attempt({"summary":"Attempt 341: No progress. \"Number Quartier of 10\" is not defined in the statement, sub-problem $LOFO2, or any reachable source, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker remains: the holders must supply an explicit definition of th) -> attempt finished

Attempt 341 finished: Attempt 341: No progress. "Number Quartier of 10" is not defined in the statement, sub-problem $LOFO2, or any reachable source, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker remains: the holders must supply an explicit definition of the property (or a source link) before any mathematical work is possible.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

I'm not going to run another search or guess a definition this turn. The statement, sub-problem $LOFO2 and every source I've checked leave "number Quartier of 10" undefined, so there is no property P(n,10) to test for n > 3. Guessing one would risk a false claim.

Attempt 341 started with $199.6102 of compute.

finish_attempt({"summary":"Attempt 340: No progress. \"Number Quartier of 10\" is not defined in the statement, the sub-problem $LOFO2, or any source I could reach, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker is unchanged: the holders must supply an explicit def) -> attempt finished

Attempt 340 finished: Attempt 340: No progress. "Number Quartier of 10" is not defined in the statement, the sub-problem $LOFO2, or any source I could reach, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker is unchanged: the holders must supply an explicit definition of the property (or a source link) before any mathematical work on this question is possible.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

I'm not going to repeat the searches or guess a definition. The notes show that attempts 323 to 339 looped on the same blocker, and nothing new has appeared, so I'll record that and stop spending compute.

Attempt 340 started with $199.6110 of compute.

finish_attempt({"summary":"Attempt 339: No progress. \"Number Quartier of 10\" is not defined in the statement, the sub-problem $LOFO2, or any source I could reach, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker is unchanged: the holders must supply an explicit def) -> attempt finished

Attempt 339 finished: Attempt 339: No progress. "Number Quartier of 10" is not defined in the statement, the sub-problem $LOFO2, or any source I could reach, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker is unchanged: the holders must supply an explicit definition of the property before any mathematical work (proof, counterexample or partial result) is possible. No compute spent.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

I'm not going to search again or guess a definition. The statement, the sub-problem and every source I've checked leave "number Quartier of 10" undefined, so there is no property P(n,10) to test for n > 3. Guessing one would risk a false claim.

Attempt 339 started with $199.6118 of compute.

finish_attempt({"summary":"Attempt 338: No progress. \"Number Quartier of 10\" is not defined in the statement, the sub-problem $LOFO2, or any reachable source, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker is unchanged: the holders must supply an explicit definit) -> attempt finished

Attempt 338 finished: Attempt 338: No progress. "Number Quartier of 10" is not defined in the statement, the sub-problem $LOFO2, or any reachable source, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker is unchanged: the holders must supply an explicit definition of P(n,10) or a source link. Notes updated; no further compute spent.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes record that this problem has been blocked for many attempts. "Number Quartier of 10" is not defined in the statement, the sub-problem, or any source I could reach, so there is no property to test for n > 3. Repeating the same searches or guessing a definition would only waste compute, so I'll record the blocker and stop.

Attempt 338 started with $199.6127 of compute.

finish_attempt({"summary":"Attempt 337: No progress. \"Number Quartier of 10\" is not defined in the statement, the sub-problem $LOFO2, or any source I could reach, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker is unchanged: the holders must supply an explicit def) -> attempt finished

Attempt 337 finished: Attempt 337: No progress. "Number Quartier of 10" is not defined in the statement, the sub-problem $LOFO2, or any source I could reach, so no integer n > 3 can be tested. I did not guess a definition and claimed nothing. The blocker is unchanged: the holders must supply an explicit definition of the property (or a source link) before any proof, counterexample or partial result is possible.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes show this problem has been blocked for many attempts. "Number Quartier of 10" is not defined in the statement, the sub-problem, or any source I could reach, so there is no property P(n,10) to test for n > 3. I won't guess a definition or claim anything. I'm recording the blocker and ending this attempt.

Attempt 337 started with $199.6135 of compute.

finish_attempt({"summary":"Attempt 336: No progress. \"Number Quartier of 10\" is not defined in the statement, the sub-problem, or any source I could reach, so no integer n > 3 can be tested. I did not guess a definition and claim nothing. The blocker is unchanged: the holders must supply an explicit definition o) -> attempt finished

Attempt 336 finished: Attempt 336: No progress. "Number Quartier of 10" is not defined in the statement, the sub-problem, or any source I could reach, so no integer n > 3 can be tested. I did not guess a definition and claim nothing. The blocker is unchanged: the holders must supply an explicit definition of the property (or a source link). Notes updated.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes show this has been blocked for many attempts. The term "number Quartier of 10" is undefined in the statement and in every source I could reach, so there is no property to test for n > 3. I'll record that clearly and stop rather than guess a definition.

Attempt 336 started with $199.6143 of compute.

finish_attempt({"summary":"Attempt 335: No progress. \"Number Quartier of 10\" is not defined in the statement, and no reachable source (web, OEIS, arXiv, or the usual variants) gives it a meaning. Without an explicit definition of P(n,10), no integer n > 3 can be tested, so no proof, counterexample or claim is po) -> attempt finished

Attempt 335 finished: Attempt 335: No progress. "Number Quartier of 10" is not defined in the statement, and no reachable source (web, OEIS, arXiv, or the usual variants) gives it a meaning. Without an explicit definition of P(n,10), no integer n > 3 can be tested, so no proof, counterexample or claim is possible. Nothing is claimed. Unblocking requires the holders to supply the definition or a source link.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes show this problem has been blocked for many attempts. The statement never defines "number Quartier of 10," and earlier searches on the phrase and its variants found nothing. Without a definition, I can't test any n > 3, so I won't guess one or claim anything. I'll record the blocker and end this attempt.

Attempt 335 started with $199.6151 of compute.

finish_attempt({"summary":"Attempt 334: No progress. \"Number Quartier of 10\" is not defined in the statement, and no reachable source gives it a meaning. No integer n > 3 can be tested without a definition, so no proof, counterexample or claim is possible. Nothing is claimed. The blocker is unchanged: the holder) -> attempt finished

Attempt 334 finished: Attempt 334: No progress. "Number Quartier of 10" is not defined in the statement, and no reachable source gives it a meaning. No integer n > 3 can be tested without a definition, so no proof, counterexample or claim is possible. Nothing is claimed. The blocker is unchanged: the holders must supply an explicit definition of P(n,10) or a source link.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

I'm not running another search. The notes show the term "number Quartier of 10" has been checked against the web, OEIS, arXiv, French, German, base-4 and "quarter" variants without any result, and the statement gives no definition. Without a definition of P(n,10), no n > 3 can be tested, so any answer would be a guess. I'll record the blocker and stop this attempt.

Attempt 334 started with $199.6160 of compute.

finish_attempt({"summary":"Attempt 333: No progress. \"Number Quartier of 10\" is undefined in the statement and in every source I could reach, so no integer n > 3 can be tested. I did not guess a definition, so nothing is claimed. The blocker is unchanged: the holders must supply an explicit definition of the pro) -> attempt finished

Attempt 333 finished: Attempt 333: No progress. "Number Quartier of 10" is undefined in the statement and in every source I could reach, so no integer n > 3 can be tested. I did not guess a definition, so nothing is claimed. The blocker is unchanged: the holders must supply an explicit definition of the property P(n,10) (or a source link) before any proof, counterexample or partial result is possible.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

I'm not going to spend more compute on this. The statement never defines "number Quartier of 10," and my notes show that web, OEIS and arXiv searches on the phrase and its variants have all come up empty. Without a definition, no integer n > 3 can be tested, so any answer would be a guess.

Attempt 333 started with $199.6169 of compute.

finish_attempt({"summary":"Attempt 332: No progress. \"Number Quartier of 10\" is not defined in the statement, and no reachable source (web, OEIS, arXiv) gives it a meaning. Without an explicit definition of the property P(n,10), no integer n > 3 can be tested, so no proof, counterexample or claim is possible. I ) -> attempt finished

Attempt 332 finished: Attempt 332: No progress. "Number Quartier of 10" is not defined in the statement, and no reachable source (web, OEIS, arXiv) gives it a meaning. Without an explicit definition of the property P(n,10), no integer n > 3 can be tested, so no proof, counterexample or claim is possible. I did not guess a definition. Nothing is claimed. Unblocking requires the holders to supply the definition or a source link.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes say this problem has been blocked for many attempts. "Number Quartier of 10" is not defined in the statement, and every search and lookup so far has come up empty. Without a definition of the property, I can't test any n > 3, so another search or a guessed definition would only repeat failed work. I'll record the status and stop this attempt without claiming anything.

Attempt 332 started with $199.6178 of compute.

finish_attempt({"summary":"Attempt 331: No progress. \"Number Quartier of 10\" is not defined in the statement, and no reachable source (web, OEIS, arXiv) gives it a meaning. Without an explicit definition of the property, no integer n > 3 can be tested, so no proof, counterexample or claim is possible. I did not ) -> attempt finished

Attempt 331 finished: Attempt 331: No progress. "Number Quartier of 10" is not defined in the statement, and no reachable source (web, OEIS, arXiv) gives it a meaning. Without an explicit definition of the property, no integer n > 3 can be tested, so no proof, counterexample or claim is possible. I did not guess a definition. Blocker: the holders need to supply a precise definition of "number Quartier of 10" (or a source link). Notes updated accordingly.

write_notes({"notes":"WORKING QUESTION: Is every integer n > 3 the \"number Quartier of 10\"? Term undefined, so read as the nearest concrete checkable question: does every n > 3 satisfy the property P(n,10) the holders intend by \"number Quartier of 10\"? (My plain-text reading; kept stable across attempts.)\n) -> notes saved

The notes show this problem has been blocked for many attempts. The statement never defines "number Quartier of 10," and every search, OEIS lookup and arXiv query so far has found nothing. Without a definition, no integer n > 3 can be tested, and guessing a definition would risk a false claim. I won't spend compute on another search, so I'm recording the blocker and ending this attempt.

Attempt 331 started with $199.6187 of compute.