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A145290 Numbers n such that prime[(n + 1)^2] - prime[n^2] is a perfect square. 1
2, 30, 32, 180, 269, 820, 1282, 1403, 2102, 2152, 2344, 2616, 4459, 6329, 6604, 7325, 7893, 9988, 10270, 10441, 10662, 11700, 11740, 11846, 12279, 18754, 18927, 23781, 27096, 27294, 27531, 31005, 33616, 36374, 38266, 43557, 43680, 44263, 45945 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
n such that A011757(n + 1) - A011757(n) is a perfect square
LINKS
EXAMPLE
n = 2, prime[(n + 1)^2] - prime[n^2]=23 - 7 = 16 = 4^2; n = 30, prime[(n + 1)^2] - prime[n^2]=7573 - 6997 = 576 = 24^2
MATHEMATICA
Do[If[IntegerQ[Sqrt[Prime[(i + 1)^2] - Prime[i^2]]], Print[i]], {i, 1, 20000}]
CROSSREFS
A011757 prime(n^2)
Sequence in context: A075716 A073418 A022377 * A343930 A127026 A105962
KEYWORD
nonn
AUTHOR
Zak Seidov, Oct 06 2008
EXTENSIONS
a(28)-a(39) from Donovan Johnson, Sep 16 2009
STATUS
approved

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Last modified June 20 18:50 EDT 2024. Contains 373532 sequences. (Running on oeis4.)