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A173088 Numbers n such that 6n-1, 6n+1, 6n+29, and 6n+31 are prime. 0
2, 5, 7, 12, 18, 25, 33, 40, 47, 72, 95, 138, 170, 172, 177, 215, 242, 278, 333, 347, 352, 373, 385, 443, 495, 550, 555, 560, 588, 637, 670, 688, 705, 707, 753, 975, 1045, 1110, 1127, 1243, 1260, 1433, 1495, 1502, 1572, 1668, 1673, 1712, 1717, 1738, 1750, 1810 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers n such that n and n+5 are both in A002822.

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

A002822 starts 1,2,3,5,7,10,12,17,18,23,... Hence the first terms are 2 (7 is in A002822), 5 (10 is in A002822), 7 (12 is in A002822), 12 (17 is in A002822), 18 (23 is in A002822).

MAPLE

# From R. J. Mathar, Mar 01 2010: (Start)

isA002822 := proc(n)

if isprime(6*n-1) and isprime(6*n+1) then

true;

else

false;

end if;

end proc:

isA173088 := proc(n)

isA002822(n) and isA002822(n+5) ;

end proc:

for n from 1 to 1700 do

if isA173088(n) then

printf("%d, ", n) ;

end if;

end do ; # (End)

PROG

(MAGMA) A002822:=[ k: k in [1..3000] | IsPrime(6*k-1) and IsPrime(6*k+1) ]; [ p: p in A002822 | p+5 in A002822 ]; // Klaus Brockhaus, Mar 01 2010

CROSSREFS

Cf. A002822 (numbers n such that 6*n-1, 6*n+1 are twin primes).

Sequence in context: A024924 A023668 A023564 * A005895 A238661 A135525

Adjacent sequences:  A173085 A173086 A173087 * A173089 A173090 A173091

KEYWORD

nonn

AUTHOR

Juri-Stepan Gerasimov, Feb 14 2010

EXTENSIONS

Edited, corrected and extended by Klaus Brockhaus, R. J. Mathar and N. J. A. Sloane, Mar 03 2010

Edited by Charles R Greathouse IV, Mar 24 2010

STATUS

approved

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Last modified May 22 20:08 EDT 2017. Contains 286906 sequences.