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Beginning with 2, smallest unincluded prime number such that successive absolute differences are distinct triangular numbers.
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%I #7 Dec 19 2021 09:24:59

%S 2,3,13,7,43,71,5,83,293,17,137,1733,193,383,683,53,431,1097,107,887,

%T 67,563,157,1103,967,439,1567,241,1619,443,2213,197,2027,4373,457,

%U 3307,751,3677,191,2819,541,2621,5861,401,4229,659,4937,281,5231,181,6067,9227

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

%e 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.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Jul 23 2005

%E More terms from _Matthew Conroy_, Mar 28 2006