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A088188 Squares that are a sum of twin primes and their indices. 2
81, 46225, 151321, 588289, 769129, 1108809, 1692601, 2283121, 3367225, 6195121, 9715689, 12341169, 14814801, 18344089, 18983449, 20657025, 35271721, 38551681, 38775529, 48511225, 50993881, 54597321, 60730849, 63059481, 80156209 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Add both primes of the pair as well as their prime indices. Example: prime(11) - prime(10) = 31 - 29 = 2; prime(10) + prime(11) + 10 + 11 = 81 = 9^2 = a(1).

LINKS

Table of n, a(n) for n=1..25.

MATHEMATICA

Select[#[[1]]+#[[2]]+PrimePi[#[[1]]]+PrimePi[#[[2]]]&/@Select[ Partition[ Prime[Range[3*10^6]], 2, 1], #[[2]]-#[[1]]==2&], IntegerQ[Sqrt[#]]&] (* Harvey P. Dale, Feb 29 2020 *)

CROSSREFS

Squares in A088186. Cf. A088187.

Sequence in context: A017428 A195274 A189149 * A017560 A128493 A145261

Adjacent sequences:  A088185 A088186 A088187 * A088189 A088190 A088191

KEYWORD

easy,nonn

AUTHOR

Zak Seidov, Sep 22 2003

EXTENSIONS

More terms from Ray Chandler, Sep 25 2003

STATUS

approved

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Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)