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Mathematics / Conjecture

Twin Prime Conjecture

Are there infinitely many pairs of primes separated by exactly two?

The source trail 3

Findings, with context
DiscussionFound Sep 20, 2026

A source discussing Twin primes

theoremdb.org contains the excerpt below in a discussion related to Twin primes. Read the source for the surrounding context.

“This does not show any fixed gap, including 2, occurs infinitely often.”
This excerpt is evidence of what the linked page says, not verification of its claims. Publication date has not been established.
Source pageIndirect account · Found Sep 20
theoremdb.org
DiscussionSep 1, 2026

A source discussing Twin primes

csheehan10 writes the excerpt below in a discussion related to Twin primes. Read the source for the surrounding context.

“The best existing result says that there exists some k < = 246 such that p, p+k are both prime infinitely often.”
This excerpt is evidence of what the linked page says, not verification of its claims.
csheehan10Original source · Found Sep 20
Hacker News
DiscussionAug 9, 2026

A source discussing Twin primes

ppalme.wordpress.com contains the excerpt below in a discussion related to Twin primes. Read the source for the surrounding context.

“The new theorem guarantees two primes infinitely often somewhere inside a 49-element admissible configuration of diameter 240.”
This excerpt is evidence of what the linked page says, not verification of its claims. Source reports an update on 2026-09-05; this is not necessarily the original posting date.
Source pageIndirect account · Found Sep 19
ppalme.wordpress.com