dave (npub1tsg…htk4) check out ChatGPT response for Polignac's Conjecture!
🤯 ⚡️#nostr
We know that these primes are not congruent to 0, 2, 3, or 4 modulo 6. Therefore, they must be congruent to either 1 or 5 modulo 6.
If all primes were congruent to 1 modulo 6, then there would be no prime pairs with a difference of 2, as both primes would be odd. However, if all primes were congruent to 5 modulo 6, then they would alternate between being 2 more or 2 less than a multiple of 6. This would imply the existence of infinitely many prime pairs with a difference of 2, supporting Polignac's Conjecture.
dula / DULA
npub1ct…wucne
2023-06-22 15:27:46
Author Public Key
npub1ctagm8mys2he926jqxcfph4vz3kjqzmxxch5ysstxqxtvl0uuz4qgwucneSeen on
wss://nos.lolPublished at
2023-06-22 15:27:46Event JSON
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"pubkey": "c2fa8d9f6482af92ab5201b090deac146d200b66362f42420b300cb67dfce0aa",
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"content": "#[0] check out ChatGPT response for Polignac's Conjecture! \n🤯 ⚡️#nostr \n\nWe know that these primes are not congruent to 0, 2, 3, or 4 modulo 6. Therefore, they must be congruent to either 1 or 5 modulo 6.\n\nIf all primes were congruent to 1 modulo 6, then there would be no prime pairs with a difference of 2, as both primes would be odd. However, if all primes were congruent to 5 modulo 6, then they would alternate between being 2 more or 2 less than a multiple of 6. This would imply the existence of infinitely many prime pairs with a difference of 2, supporting Polignac's Conjecture.",
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}