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Search: id:A135557
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| A135557 |
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Consider the primes which are congruent to 2 or 3 modulo 5. List the sum of any consecutive pair if that sum is congruent to 0 modulo 10. |
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+0
2
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| 10, 20, 30, 40, 60, 80, 90, 100, 120, 140, 180, 200, 210, 220, 240, 320, 330, 340, 390, 420, 450, 460, 490, 520, 540, 560, 600, 620, 630, 700, 720, 740, 780, 830, 900, 920, 930, 990, 1070, 1120, 1140, 1180, 1200, 1220, 1230, 1260, 1290, 1300, 1350, 1360
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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3+7 == 10; 13+17 == 30; 17+23 == 40; 23+37 == 60; 37+43 == 80;...
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MATHEMATICA
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Select[ Plus @@@ Partition[ Select[ Prime@ # & /@ Range@125, Mod[ #, 5] == 2 || Mod[ #, 5] == 3 &], 2, 1], Mod[ #, 10] == 0 &] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A138019, A138018.
Sequence in context: A044835 A033007 A127993 this_sequence A093037 A130720 A046285
Adjacent sequences: A135554 A135555 A135556 this_sequence A135558 A135559 A135560
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KEYWORD
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easy,nonn
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AUTHOR
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Daniele Corradetti (d.corradetti(AT)gmail.com), Feb 28 2008
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EXTENSIONS
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Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 29 2008
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