|
Search: id:A076746
|
|
|
| A076746 |
|
List giving pairs of primes of the form 10k+3 and 10k+7. |
|
+0
4
|
|
| 3, 7, 13, 17, 43, 47, 103, 107, 163, 167, 193, 197, 223, 227, 313, 317, 463, 467, 613, 617, 643, 647, 673, 677, 823, 827, 853, 857, 883, 887, 1093, 1097, 1213, 1217, 1303, 1307, 1423, 1427, 1483, 1487, 1663, 1667, 1693, 1697, 1783, 1787, 1873, 1877, 1993
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Except for 3 and 7, all pairs are 30k+13 and 30k+17.
Is this sequence infinite?
|
|
LINKS
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 04 2008, Table of n, a(n) for n = 1..142
|
|
EXAMPLE
|
43 and 47 are in the sequence because both are prime; 73 and 77 aren't because not both are primes.
|
|
MATHEMATICA
|
a[0] = 3; a[n_] := a[n] = a[n - 1] + 10; Flatten[Table[If[PrimeQ[a[n]] && PrimeQ[a[n] + 4], {a[n], a[n] + 4}, {}], {n, 0, 1000}]] - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 04 2008
|
|
PROGRAM
|
(PARI) forstep(x=3, 2000, 10, if(isprime(x) && isprime(x+4), print1(x" "x+4" ")))
|
|
CROSSREFS
|
Cf. A001097.
Cf. A132243, A132242, A076746.
Sequence in context: A113003 A045423 A032437 this_sequence A118667 A034017 A034021
Adjacent sequences: A076743 A076744 A076745 this_sequence A076747 A076748 A076749
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Cino Hilliard (hillcino368(AT)gmail.com), Nov 11 2002
|
|
EXTENSIONS
|
Edited by Don Reble (djr(AT)nk.ca), Jun 07 2003
More terms from Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 04 2008
|
|
|
Search completed in 0.002 seconds
|
