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
npub1ctagm8mys2he926jqxcfph4vz3kjqzmxxch5ysstxqxtvl0uuz4qgwucnePublished at
2023-06-22 15:27:46Event JSON
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"created_at": 1687447666,
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"tags": [
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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.",
"sig": "d19ccf2f00d5efae8de548aa69c632c615e5d6b16ae16ee00c81930bdf4713046f4e66e3bcbf595e63d3641aa1e8076b72aa44a5ec33053d19ae997695d5edcd"
}