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Search: id:A112681
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| A112681 |
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Primes such that the sum of the predecessor and successor primes is divisible by 3. |
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+0
15
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| 23, 29, 31, 37, 47, 59, 61, 67, 73, 79, 83, 89, 131, 137, 151, 163, 167, 179, 199, 223, 233, 239, 251, 269, 271, 277, 331, 337, 353, 359, 367, 379, 383, 389, 433, 439, 443, 449, 467, 479, 503, 521, 523, 547, 557, 569, 571, 577, 587, 599, 601, 613, 619, 631
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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23 is in the sequence because 19+29=48 and 3|48.
29 is in the sequence because 29+31=60 and 3|60.
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MATHEMATICA
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Prime@Select[Range[2, 117], Mod[Prime[ # - 1] + Prime[ # + 1], 3] == 0 &] (from Robert G. Wilson v (rgwv(at)rgwv.com), Jan 11 2006)
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CROSSREFS
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Analogues where 3 is replaced by other primes:
Divisor: ..3 .......5 .......7 ......11 ......13 ......17 ......19 ......23 ......29 ......31 ......37 ......41 ......43
See: A112681, A112794, A112731, A112789, A112795, A112796, A112804, A112847, A112859, A113155, A113156, A113157, A113158
Adjacent sequences: A112678 A112679 A112680 this_sequence A112682 A112683 A112684
Sequence in context: A060703 A061753 A049483 this_sequence A078500 A082942 A082943
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KEYWORD
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easy,nonn
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AUTHOR
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Carlos Alves (cjsalves(AT)gmail.com), Dec 30 2005
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