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A357909
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Primes p such that p+6, p+12, p+18, 4*p+37, 4*p+43, 4*p+49 and 4*p+55 are also all primes.
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1
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408211, 6375751, 6433741, 6718471, 19134931, 25280791, 63908851, 67078801, 152418151, 159268561, 217697911, 236220991, 237943591, 334030981, 363246211, 392644921, 406249171, 410652031, 428032441, 476660281, 478441291, 502777111, 552727711, 552855001, 554201731, 693654721, 816050071, 877207141
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OFFSET
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1,1
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COMMENTS
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Start of a "sexy" prime quadruple (in the sense of A023271) such that 1 + the sum of the quadruple is the start of another "sexy" prime quadruple.
All terms == 1 (mod 30).
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LINKS
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EXAMPLE
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a(1) = 408211 is a term because 408211, 408211+6 = 408217, 408211+12 = 408223, 408211+18 = 408229 are primes (a "sexy" prime quadruple), the sum of this quadruple is 4*408211+36 = 1632880, and 1632880+1 = 1632881, 1632880+7 = 1632887, 1632880+13 = 1632893, 1632880+19 = 1632899 is another "sexy" prime quadruple.
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MAPLE
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Res:= NULL: count:= 0:
for p from 1 by 30 while count < 40 do
if isprime(p) and isprime(p+6) and isprime(p+12) and isprime(p+18)
and isprime(4*p+37) and isprime(4*p+43) and isprime(4*p+49) and isprime(4*p+55)
then Res:= Res, p; count:= count+1
fi
od:
Res;
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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