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A085099
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Least natural number k such that k^2 + n is prime.
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3
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1, 1, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 4, 1, 6, 7, 2, 9, 2, 1, 12, 1, 4, 3, 2, 3, 6, 1, 2, 3, 2, 1, 24, 1, 2, 3, 4, 1, 6, 5, 2, 3, 4, 1, 6, 5, 2, 9, 2, 1, 18, 1, 6, 3, 2, 3, 6, 1, 2, 9, 2, 1, 6, 1, 4, 3, 2, 5, 6, 1, 2, 3, 4, 1, 12, 5, 2
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| First values of k and n such that k > 100 are: k=114, n=6041; for k > 200: k=210, n=26171; for k > 300: k=357, n=218084; for k > 400: k=402, n=576239.
Additionally, for k > 500: k=585, n=3569114; for k > 600: k=630, n=3802301; for k > 700: k=744, n=24307841; for k > 800: k=855, n=25051934; for k > 900: k=1008, n=54168539. Other cases k > 900: k=945, n=74380946, k=915, n=89992964, k=939, n=118991066. (Zak Seidov, May 23, 2007)
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LINKS
| Moshe Levin, Table of n, a(n) for n = 1..10000
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FORMULA
| a(n)=sqrt(A059843(n)-n). - Moshe Levin, Nov 24 2011
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CROSSREFS
| Cf. A059843.
Sequence in context: A126342 A082388 A178254 * A193807 A154744 A189733
Adjacent sequences: A085096 A085097 A085098 * A085100 A085101 A085102
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KEYWORD
| easy,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Aug 10 2003
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