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A307493
Primes that are both centered triangular and centered square.
0
16381, 23199907725541, 873105326726527441, 169377932722437899461, 532026300937919058017204151243671297356368598920355705257429996547710782877327451810988538831181
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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