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A122478 Minimum number k>0 such that ((2n+1)^k - (2n-1)^k)/2 is prime. 2
3, 13, 3, 3, 5, 3, 17, 3, 163, 3, 3, 109, 3, 13, 19, 5, 3, 3, 1879, 3, 13, 379, 7, 1531, 7, 5, 337, 5, 3, 61, 19, 3, 23, 3, 11, 16417, 163, 23, 3, 5, 3, 3, 3, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All a(n) are primes. Corresponding minimal primes of the form ((2n+1)^k - (2n-1)^k)/2 are {13, 609554401, 109, 193, 51001, 433, 44937854708156010721, 769, ...}.
a(46)-a(49) are 17, 5, 31, 3. a(51)-a(61) are 109, 5, 7, 89, 13, 3, 31, 53, 5, 3, 5. a(63)-a(69) are 3, 7, 19, 5, 167, 163, 293. a(71)-a(74) are 3, 3407, 3, 3. a(76)-a(77) are 3, 19.
a(45), a(50), a(62), a(70), a(75) are currently unknown.
a(45) > 30000. [From Max Alekseyev, May 18 2010]
LINKS
CROSSREFS
Sequence in context: A363270 A107774 A253685 * A164558 A347821 A128368
KEYWORD
hard,more,nonn
AUTHOR
Alexander Adamchuk, Sep 14 2006, Sep 17 2006, Oct 07 2006
EXTENSIONS
a(36)=16417 from Max Alekseyev, May 11 2010
STATUS
approved

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Last modified March 29 09:14 EDT 2024. Contains 371268 sequences. (Running on oeis4.)