A145376 - OEIS

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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

1

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

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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