The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A082654 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A082654

Order of 4 mod n-th prime: least k such that prime(n) divides 4^k-1, n >= 2.
(history; published version)

#52 by Michael De Vlieger at Mon May 13 12:22:19 EDT 2024

STATUS

proposed

approved

#51 by Jianing Song at Mon May 13 11:10:17 EDT 2024

STATUS

editing

proposed

#50 by Jianing Song at Mon May 13 11:09:55 EDT 2024

CROSSREFS

In other bases: A014664, A062117, A211241, A211242, A211243, A211244, A211245, A002371, A372801.

#49 by Jianing Song at Mon May 13 10:59:01 EDT 2024

FORMULA

a(n) = A014664(n)/gcd(2, A014664(n)). - _From _Jianing Song_, May 13 2024: (Start)

a(n) = A014664(n)/gcd(2, A014664(n)).

a(n) <= (prime(n) - 1)/2. Those prime(n) for which a(n) = (prime(n) - 1)/2 are listed in A216371. (End)

#48 by Jianing Song at Mon May 13 10:55:46 EDT 2024

FORMULA

a(n) = A014664(n)/gcd(2, A014664(n)). - Jianing Song, May 13 2024

STATUS

approved

editing

#47 by Michael De Vlieger at Mon May 13 09:16:11 EDT 2024

STATUS

proposed

approved

#46 by Jianing Song at Mon May 13 07:00:09 EDT 2024

STATUS

editing

proposed

#45 by Jianing Song at Mon May 13 06:59:53 EDT 2024

KEYWORD

nonn,easy,changed

STATUS

proposed

editing

#44 by Jianing Song at Mon May 13 06:55:05 EDT 2024

STATUS

editing

proposed

#43 by Jianing Song at Mon May 13 06:54:06 EDT 2024

CROSSREFS

Cf. A053447 (order of 4 mod 2n+1), A216371.