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A104269 Numbers n such that prime(n) + n is a square. +0
1
11, 37, 443, 571, 1049, 1307, 1451, 1523, 2837, 3593, 5233, 8539, 9257, 9439, 10391, 10987, 17579, 21881, 23321, 23909, 25117, 30557, 30893, 31231, 42239, 47123, 64811, 65789, 83089, 91631, 92219, 95747, 97549, 99971, 101197, 101807 (list; graph; listen)
OFFSET

1,1

COMMENT

A064371(n) + A000040(A064371(n)) = A086968(n)^2. n^2 is prime + its index A086968; n + n-th prime is a square A064371; primes A000040.

FORMULA

a(n) = A086968(n)^2 - pi(a(n))

EXAMPLE

37 is a term because 37 is 12-th prime and 37+12=49=7^2.

CROSSREFS

Cf. A000040, A064371, A086968, A064370

Sequence in context: A120833 A034969 A052432 this_sequence A084014 A084018 A012820

Adjacent sequences: A104266 A104267 A104268 this_sequence A104270 A104271 A104272

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Feb 26 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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