login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A307493 Primes that are both centered triangular and centered square. 0
16381, 23199907725541, 873105326726527441, 169377932722437899461, 532026300937919058017204151243671297356368598920355705257429996547710782877327451810988538831181 (list; graph; refs; listen; history; text; internal format)
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: A223109 A126824 A236778 * A075958 A075963 A075959

Adjacent sequences:  A307490 A307491 A307492 * A307494 A307495 A307496

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 10 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 14 07:03 EST 2019. Contains 329978 sequences. (Running on oeis4.)