A357909 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.

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

Offset

1,1

Comments

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).

Links

Robert Israel, Table of n, a(n) for n = 1..115

Example

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.

Maple

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;

Crossrefs

Cf. A023271.

Sequence in context: A210265 A043609 A220988 * A295445 A183705 A233995

Adjacent sequences: A357906 A357907 A357908 * A357910 A357911 A357912

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Nov 09 2022

Status

approved