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Search: id:A050207
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| A050207 |
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Primes of the form p + (smallest prime >= p+1) + (smallest prime >= p+3). |
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+0
2
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| 23, 29, 41, 47, 59, 97, 131, 137, 223, 283, 311, 317, 367, 389, 457, 563, 587, 607, 677, 743, 839, 857, 907, 929, 941, 947, 1031, 1049, 1093, 1283, 1303, 1453, 1489, 1847, 1867, 1913, 1931, 1993, 2027, 2347, 2381, 2441, 2477, 2579, 2617, 2657
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Originally an erroneous version of A034962.
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LINKS
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Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Jan 27 2007, Table of n, a(n) for n = 1..1893
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EXAMPLE
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p = 5: 23 = 5 + 7 + 11
p = 7: 29 = 7 + 11 + 11
p = 11: 41 = 11 + 13 + 17
p = 13: 47 = 13 + 17 + 17
p = 17: 59 = 17 + 19 + 23
p = 19: 65 = 19 + 23 + 23 is not prime, so not in the sequence.
p = 17: 59 = 17 + 19 + 23
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PROGRAM
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(PARI) psumpr3(n) = { c1=0; c2=0; forprime(x=3, n, s = nextprime(x)+nextprime(x+1)+nextprime(x+3); c1++; if(isprime(s), c2++; print1(s" ")); ); print(); print(c2/c1+.0) }
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CROSSREFS
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Cf. A034962
Sequence in context: A101784 A101802 A094383 this_sequence A007637 A085448 A095077
Adjacent sequences: A050204 A050205 A050206 this_sequence A050208 A050209 A050210
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KEYWORD
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nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), May 08 2003
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EXTENSIONS
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Edited by Joshua Zucker, Jan 27 2007
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