A307493 Primes that are both centered triangular and centered square.

16381, 23199907725541, 873105326726527441, 169377932722437899461, 532026300937919058017204151243671297356368598920355705257429996547710782877327451810988538831181

Offset

1,1

Comments

Primes that are the sum of three consecutive triangular numbers and the sum of two consecutive squares.

The next term is too large to include.

Links

Table of n, a(n) for n=1..5.

Eric Weisstein's World of Mathematics, Centered Triangular Number

Eric Weisstein's World of Mathematics, Centered Square Number

Mathematica

Select[LinearRecurrence[{195, -195, 1}, {1, 85, 16381}, 43], PrimeQ[#] &]

Crossrefs

Intersection of A027862 and A125602.

Cf. A000040, A001110, A001844, A005448, A131750, A163251, A269414.

Sequence in context: A126824 A236778 A344102 * A075958 A075963 A075959

Adjacent sequences: A307490 A307491 A307492 * A307494 A307495 A307496

Keyword

nonn

Author

Ilya Gutkovskiy, Apr 10 2019

Status

approved