A307493 Primes that are both centered triangular and centered square.

16381, 23199907725541, 873105326726527441, 169377932722437899461, 532026300937919058017204151243671297356368598920355705257429996547710782877327451810988538831181

Offset: 1

Author

Ilya Gutkovskiy, Apr 10 2019

Keywords

• nonn

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

• Eric Weisstein's World of Mathematics, Centered Triangular Number
• Eric Weisstein's World of Mathematics, Centered Square Number

Crossrefs

Intersection of A027862 and A125602.

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

Programs

Mathematica

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