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Search: id:A105093
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| A105093 |
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Numbers n such that n = prime(k) + prime(k+3) = prime(k+1) + prime(k+2) for some k. |
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+0
1
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| 18, 24, 30, 36, 60, 84, 120, 162, 204, 210, 216, 240, 288, 330, 372, 390, 456, 520, 540, 624, 726, 762, 798, 840, 852, 882, 924, 978, 990, 1104, 1140, 1164, 1200, 1392, 1410, 1428, 1530, 1632, 1650, 1716, 1740, 1764, 1794, 1848, 1974, 2052, 2100, 2112, 2184
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Goldbach Conjecture
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EXAMPLE
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a(1)=18 because prime(3)+prime(6)=prime(4)+prime(5)=5+13=7+11=18.
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MATHEMATICA
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lst = {}; Do[ If[ Prime[n] + Prime[n + 3] == Prime[n + 1] + Prime[n + 2], AppendTo[lst, Prime[n] + Prime[n + 3]]], {n, 184}]; lst (from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 07 2005)
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CROSSREFS
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Cf. A001172, A000954, first primes in A022885.
Sequence in context: A076770 A105679 A076771 this_sequence A162331 A092536 A125261
Adjacent sequences: A105090 A105091 A105092 this_sequence A105094 A105095 A105096
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KEYWORD
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nonn
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AUTHOR
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Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Apr 06 2005
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EXTENSIONS
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Edited and extended from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 07 2005
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