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A066082 Prime octets: n such that 210*n - 105 +/- 2^j are prime, for all 0 < j <= 4. 3
242590, 1175444, 2416288, 2583146, 2596049, 2796151, 4953911, 5574794, 6127655, 6396209, 6460877, 6625438, 8521234, 11025856, 11352491, 15482298, 16228703, 18861024, 19048003, 20043534, 22835193, 31519781, 34399756 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..100

EXAMPLE

a(1)=242590 because 210*a(1)-105=50943795 and 50943795-2, -4, -8, -16, +2, +4, +8 and +16 are all prime.

PROG

(PARI) { n=0; for (m=1, 10^12, b=210*m - 105; c=0; for (j=1, 4, if (isprime(b - 2^j) , c++, break)); if (c<4, next); for (j=1, 4, if (isprime(b + 2^j) , c++, break)); if (c == 8, write("b066082.txt", n++, " ", m); if (n==100, return)) ) } [From Harry J. Smith, Nov 11 2009]

CROSSREFS

A proper subset of A061671 (prime sextets). Cf. prime quadruples A014561. See also A066081.

Sequence in context: A127881 A134857 A078871 * A204950 A187534 A140792

Adjacent sequences:  A066079 A066080 A066081 * A066083 A066084 A066085

KEYWORD

nonn

AUTHOR

Frank Ellermann, Dec 03 2001

EXTENSIONS

More terms from Don Reble (djr(AT)nk.ca), Dec 07 2001

STATUS

approved

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Last modified May 18 21:01 EDT 2013. Contains 225428 sequences.