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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 single-digit prime and 11 is the smallest two-digit 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) \\ Michael B. Porter, Apr 20 2010

CROSSREFS

Cf. A017029, A101084, A101086, A101444.

Sequence in context: A315889 A315890 A315891 * A102721 A315892 A315893

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

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Last modified December 3 09:50 EST 2022. Contains 358517 sequences. (Running on oeis4.)