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A126096 Primes which are the arithmetic mean of four successive primes. +0
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127, 139, 149, 181, 241, 431, 967, 1021, 1031, 1061, 1597, 1759, 1913, 2113, 2437, 2593, 2833, 2953, 3769, 3793, 3947, 4219, 4261, 4463, 4603, 5011, 5869, 5923, 6449, 6701, 6959, 7103, 7489, 7549, 7727, 8273, 8803, 8839, 9137, 9241, 9421, 9931, 10069 (list; graph; listen)
OFFSET

1,1

EXAMPLE

181 is in the sequence because it is prime and it is the arithmetic mean of the consecutive primes 173, 179,181, and 191.

MAPLE

a:=proc(n) local nn: nn:=(ithprime(n)+ithprime(n+1)+ithprime(n+2)+ithprime(n+3))/4: if type(nn, integer)=true and isprime(nn)=true then nn else fi end: seq(a(n), n=1..1300); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 07 2007

CROSSREFS

Cf. A102655 = numbers which are the arithmetic mean of four successive primes.

Sequence in context: A102636 A075595 A133781 this_sequence A006285 A094933 A120654

Adjacent sequences: A126093 A126094 A126095 this_sequence A126097 A126098 A126099

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)gmail.com), Mar 03 2007

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 07 2007

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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