A145376 If T(n)>=n is the nearest triangular number to n and p_n is the n-th prime, then a(n) is the least prime such that T(a(n)*p_n)-a(n)p_n is a triangular number

3, 2, 2, 2, 2, 3, 5, 5, 7, 11, 11, 11, 13, 17, 17, 19, 23, 23, 23, 29, 29, 29, 31, 37, 37, 41, 41, 41, 41, 43, 53, 53, 53, 59, 59, 61, 67, 67, 67, 71, 73, 73, 79, 79, 83, 83, 89, 97, 97, 97, 97, 101, 101, 107, 107, 113, 113, 127, 127, 127, 127, 127, 131, 137

Offset

1,1

Comments

Conjecture. For n>=2 the sequence is nondecreasing.

The conjecture holds for the first 10000 terms. [Charles R Greathouse IV, Feb 21 2011]

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000217, A145043, A145016, A145281, A145300.

Sequence in context: A122396 A272893 A037199 * A084402 A127599 A207384

Adjacent sequences: A145373 A145374 A145375 * A145377 A145378 A145379

Keyword

nonn

Author

Vladimir Shevelev, Oct 09 2008

Extensions

a(27)-a(64) from Charles R Greathouse IV, Feb 21 2011

Status

approved