Question

Can we deduce that there is infinitely many indices $n$ such that the period length of $1/(2^{2^n}+1)$ is strictly less then $2^{2^n}$.

score 63 · Answer 1 · 2026-04-09 08:09:49

63

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Can we deduce that there is infinitely many indices $n$ such that the period length of $1/(2^{2^n}+1)$ is strictly less then $2^{2^n}$.

Published on 09 Apr 2026 - 8:09

score 48 · Answer 2 · 2026-03-25 18:46:36

48

Views

Finding a special sequence related to primes

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score 50 · Answer 3 · 2026-03-25 18:48:07

50

Views

How one can show that this inequality holds true for infinitely many primes

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score 218 · Answer 4 · 2026-03-25 18:45:03

218

Views

Does there exist such a sequence $B$ when $p>5$?

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score 122 · Answer 5 · 2026-03-25 18:44:10

122

Views

Techniques on finding consecutive primes with large gaps

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score 72 · Answer 6 · 2026-03-25 18:45:48

72

Views

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score 237 · Answer 7 · 2026-05-10 15:03:21

237

Views

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score 85 · Answer 8 · 2026-03-25 18:47:30

85

Views

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score 183 · Answer 9 · 2026-03-25 18:49:11

183

Views

Do all elements of $[n+1,2n]$ have strictly higher gpf than elements of $[1,n]$ when sorted by gpf?

Published on 25 Mar 2026 - 18:49

score 159 · Answer 10 · 2026-03-25 18:45:02

159

Views

Small gaps between primes and arithmetic progressions

Published on 25 Mar 2026 - 18:45

score 94 · Answer 11 · 2026-03-25 18:50:16

94

Views

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Published on 25 Mar 2026 - 18:50

score 214 · Answer 12 · 2026-03-25 18:47:30

214

Views

proof of prime in every interval $(p^2,p^2+p)$

Published on 25 Mar 2026 - 18:47

score 187 · Answer 13 · 2026-03-25 18:45:00

187

Views

Why do prime numbers have this pattern?

Published on 25 Mar 2026 - 18:45

score 94 · Answer 14 · 2026-03-25 18:49:08

94

Views

Does the Euler constant allow to go from the prime realm to the zeta zeros realm?

Published on 25 Mar 2026 - 18:49

score 75 · Answer 15 · 2026-03-25 18:52:10

75

Views

Help with basic combinatorics for alternative approach to Bertrand's postulate

Published on 25 Mar 2026 - 18:52

List Question

Can we deduce that there is infinitely many indices $n$ such that the period length of $1/(2^{2^n}+1)$ is strictly less then $2^{2^n}$.

Finding a special sequence related to primes

How one can show that this inequality holds true for infinitely many primes

Does there exist such a sequence $B$ when $p>5$?

Techniques on finding consecutive primes with large gaps

Minimum difference between consecutive multiples of $k$ that are $k\text{-rough}$

Proof of infinitude of primes using ratio of n to its totient

An inequality regarding the sum of primes

Do all elements of $[n+1,2n]$ have strictly higher gpf than elements of $[1,n]$ when sorted by gpf?

Small gaps between primes and arithmetic progressions

The Rook Conjecture: arrangement of $p$ primes being distinct $\pmod{p}$ through $p^2$

proof of prime in every interval $(p^2,p^2+p)$

Why do prime numbers have this pattern?

Does the Euler constant allow to go from the prime realm to the zeta zeros realm?

Help with basic combinatorics for alternative approach to Bertrand's postulate

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