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Search: id:A119487
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| A119487 |
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Primes of the form (i-th prime)*i + (i+1-st prime)*(i+1). |
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11
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| 43, 83, 197, 271, 359, 631, 977, 1307, 1553, 2371, 2693, 2953, 3271, 4561, 5051, 5407, 6551, 8713, 9941, 10651, 22573, 23333, 27689, 31051, 33203, 34123, 37507, 52639, 60919, 64399, 79279, 82699, 93559, 112061, 119131, 136033, 146921, 197959
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes in A152117; also called linking primes, cf. A152658. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 11 2008]
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LINKS
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Klaus Brockhaus, Table of n, a(n) for n=1..10000 [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 11 2008]
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EXAMPLE
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The third prime is 5 and the fourth is 7. Therefore 5*3 + 7*4 = 15 + 28 = 43 which is a prime.
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MAPLE
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P:=proc(n) local i, j; for i from 1 by 1 to n do j:=ithprime(i)*i+ithprime(i+1)*(i+1); if isprime(j) then print(i); fi; od; end: P(200);
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PROGRAM
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(MAGMA) [ q: n in [1..133] | IsPrime(q) where q is n*p+(n+1)*NextPrime(p) where p is NthPrime(n) ] [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 11 2008]
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CROSSREFS
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Cf. A119488.
Cf. A152117 (n*(n-th prime) + (n+1)*((n+1)-th prime)), A152658 (beginnings of maximal chains of primes). [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 11 2008]
Sequence in context: A118075 A045238 A139982 this_sequence A063351 A065874 A062060
Adjacent sequences: A119484 A119485 A119486 this_sequence A119488 A119489 A119490
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KEYWORD
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easy,nonn
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AUTHOR
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Paolo P. Lava and Giorgio Balzarotti (ppl(AT)spl.at), May 23 2006
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