A139783 Quadruple lucky numbers (lower terms). Numbers n such that n, n+2, n+6, n+8 are all Lucky numbers.

1, 7, 67, 127, 613, 925, 1495, 1765, 2209, 2815, 3403, 5965, 6661, 8827, 9115, 15229, 16387, 18145, 19153, 21925, 23563, 24637, 27031, 27199, 28987, 31381, 32635, 34717, 35701, 36673, 40447, 43225, 43975, 47419, 50317, 51157, 56263, 64495

Offset: 1

Author

Jonathan Vos Post, May 20 2008

Keywords

• easy
• nonn

Comments

Weisstein comments: "the frequency of twin primes and twin lucky numbers are similar." This is to lucky numbers A000959 and A031158 Twin lucky numbers (lower terms) as prime numbers A000040 and A001359 Lesser of twin primes are to A007530 Prime quadruples: numbers n such that n, n+2, n+6, n+8 are all prime.

Examples

			a(1) = 1 because 1, 1+2=3, 1+6=7 and 1+8=9 are all lucky numbers A000959.
a(2) = 7 because 7, 7+2=9, 7+6=13 and 7+8=15 are all lucky numbers A000959.
a(3) = 67 because {67, 69, 73, 75} are all lucky numbers.
a(4) = 127 because {127, 129, 133, 135} are all lucky numbers.
a(5) = 613 because {613, 615, 619, 621} are all lucky numbers.
a(6) = 925 because {925, 927, 931, 933} are all lucky numbers.
a(7) = 1495 because {1495, 1497, 1501, 1503} are all lucky numbers.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• Eric W. Weisstein, Lucky Number.

Crossrefs

Cf. A000040, A000959, A001359, A031158.

Formula

a(n) = {k such that k is in A000959 and k+2 is in A000959 and k+6 is in A000959 and k+8 is in A000959} = {k such that k is in A031158 and k+6 is in A031158}.

Extensions

Inserted a(8)=1765 and extended, R. J. Mathar, Jul 18 2008