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A101769 Numbers p such that p, 2p+1, 3p+2, 4p+3, 5p+4, 6p+5, 7p+6, 8p+7 are primes. 6
2894219, 60041519, 64523969, 242024369, 407874179, 1092040949, 1092075389, 1674689729, 2281060319, 5035134509, 5329406669, 5683382879, 5792424329, 6000216809, 6380217479, 10409580719, 11488703939, 13745865209, 14181824369, 14904963149, 15002412599, 15412603919 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

From Jeppe Stig Nielsen, Jul 07 2020: (Start)

Each term is -1 modulo 210.

The subset p, 2p+1, 4p+3, 8p+7 is a Cunningham chain, cf. A023272. (End)

LINKS

Jeppe Stig Nielsen, Table of n, a(n) for n = 1..50

Wikipedia, Cunningham chain

MATHEMATICA

a={}; Do[p=Prime[n]; If[PrimeQ[p*2+1]&&PrimeQ[p*3+2]&&PrimeQ[p*4+3]&&PrimeQ[p*5+4]&&PrimeQ[p*6+5]&&PrimeQ[p*7+6]&&PrimeQ[p*8+7], AppendTo[a, p]], {n, 1, 10^7}]; Print[a]; (* Vladimir Joseph Stephan Orlovsky, Apr 29 2008 *)

CROSSREFS

Cf. A000040, A005384, A023272, A067256, A067257, A067258, A101767, A101768, A101769, A101770, A336060.

Sequence in context: A321669 A237944 A101768 * A237210 A209795 A246054

Adjacent sequences:  A101766 A101767 A101768 * A101770 A101771 A101772

KEYWORD

nonn,easy

AUTHOR

Jonathan Vos Post and Ray Chandler, Dec 31 2004

EXTENSIONS

a(20)-a(22) from Jeppe Stig Nielsen, Jul 07 2020

STATUS

approved

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Last modified August 12 16:32 EDT 2022. Contains 356077 sequences. (Running on oeis4.)