A110362 Beginning with 2, smallest unincluded prime number such that successive absolute differences are distinct triangular numbers.

2, 3, 13, 7, 43, 71, 5, 83, 293, 17, 137, 1733, 193, 383, 683, 53, 431, 1097, 107, 887, 67, 563, 157, 1103, 967, 439, 1567, 241, 1619, 443, 2213, 197, 2027, 4373, 457, 3307, 751, 3677, 191, 2819, 541, 2621, 5861, 401, 4229, 659, 4937, 281, 5231, 181, 6067, 9227

Offset

1,1

Links

Table of n, a(n) for n=1..52.

Example

3 is included since 3-2=1 is a triangular number. 13 is next since 13-3=10 is triangular and 13 has not been used, 10 has not appeared as a difference earlier in the sequence and 5-3,7-3,11-3 are not triangular numbers.

Crossrefs

Sequence in context: A306431 A192362 A057776 * A074478 A046421 A132365

Adjacent sequences: A110359 A110360 A110361 * A110363 A110364 A110365

Keyword

nonn

Author

Amarnath Murthy, Jul 23 2005

Extensions

More terms from Matthew Conroy, Mar 28 2006

Status

approved