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Search: id:A058056
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| A058056 |
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a(n)=p is the smallest prime such that p=n+h(n)^2 and p is the first prime following h(n)^2. The smallest immediate post-square primes with distance n=p-h(n)^2. |
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+0
1
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| 2, 11, 67, 29, 149, 127, 331, 2609, 6733, 2411, 54767, 541, 1777, 5639, 7411, 53377, 30293, 11467, 82963, 3989, 6421, 4783, 10427, 105649, 27581, 585251, 16411, 20477, 675713, 528559, 76207, 356441, 51109, 697259, 492839, 212557, 64553
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OFFSET
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1,1
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EXAMPLE
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n=5 a(5)=149=5+144=5+12^2; although 41=5+36=5+k^2 but between 41 and 36 further prime occurs(37) while no more primes are between 144 and 149. n=7 a(7)=331=324+7=18*18+7 and 331=nextprime(324); numerous smaller primes(like {7,11,23,43,71,107,151,263}= 7+{0,4,16,36,64,100,144,256}) have q=7+k^2 form so that q is not the nextprime(7+k^2), 324 is the smallest square of this kind
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CROSSREFS
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Sequence in context: A074613 A039632 A138792 this_sequence A063768 A042245 A135166
Adjacent sequences: A058053 A058054 A058055 this_sequence A058057 A058058 A058059
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Nov 20 2000
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