

A101123


Numbers n for which 7*n + 11 is prime.


7



0, 6, 8, 14, 18, 20, 24, 26, 36, 38, 48, 54, 60, 68, 78, 80, 84, 86, 90, 96, 104, 114, 116, 128, 138, 140, 144, 146, 150, 156, 158, 168, 170, 174, 188, 204, 206, 210, 216, 224, 228, 230, 236, 246, 248, 254, 260, 266, 270, 284, 288, 294, 296, 300, 306, 318, 320
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

Note that 7 is the largest singledigit prime and 11 is the smallest twodigit prime.
Solutions of the equation (7*n+11)'=1, where n' is the arithmetic derivative of n. [Paolo P. Lava, Nov 27 2012]


LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000


EXAMPLE

If n=6, then 7*6 + 11 = 53 (prime).
If n=8, then 7*8 + 11 = 67 (prime).
If n=14, then 7*14 + 11 = 109 (prime).


MATHEMATICA

Select[Range[0, 500], PrimeQ[7#+11]&] (* Harvey P. Dale, Jun 05 2012 *)


PROG

(PARI) isA101123(n)=isprime(7*n+11) [From Michael B. Porter, Apr 20 2010]


CROSSREFS

Cf. A017029, A101084, A101086, A101444.
Sequence in context: A178950 A047451 A194399 * A102721 A124127 A101084
Adjacent sequences: A101120 A101121 A101122 * A101124 A101125 A101126


KEYWORD

nonn


AUTHOR

Parthasarathy Nambi, Jan 21 2005


EXTENSIONS

Extended by Ray Chandler, Jan 25 2005


STATUS

approved



