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A002242 Numbers n such that 45*2^n-1 is prime.
(Formerly M0502 N0181)
+0
1
1, 2, 3, 4, 5, 6, 8, 9, 14, 15, 16, 22, 28, 29, 36, 37, 54, 59, 85, 93, 117, 119, 161, 189, 193, 256, 308, 322, 327, 411, 466, 577, 591, 902, 928, 946, 1162, 1428, 1708, 1724, 2063, 2922, 2951, 3111, 3402, 4024, 4485, 5859, 6124, 8981, 10628, 19283, 23522, 26591, 28914, 33954, 34743, 76367, 103546, 103912, 104452, 125132, 139883, 174102, 249065, 306394, 368553, 528245, 645542, 818648 (list; graph; listen)
OFFSET

1,2

REFERENCES

H. Riesel, Lucasian criteria for the primality of N=h.2^n-1, Math. Comp., 23 (1969), 869-875.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for k < 300

Wilfrid Keller, List of primes k.2^n - 1 for k < 300

Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Kosmaj, Riesel list k<300.

PROGRAM

(PARI) v=[ ]; for(n=1, 2000, if(isprime(45*2^n-1), v=concat(v, n), )); v

CROSSREFS

Sequence in context: A129525 A084693 A121644 this_sequence A039125 A038101 A073956

Adjacent sequences: A002239 A002240 A002241 this_sequence A002243 A002244 A002245

KEYWORD

hard,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

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Last modified December 3 22:15 EST 2009. Contains 170310 sequences.


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