A001774 Numbers k such that 17*2^k - 1 is prime. (Formerly M1028 N0387)

2, 4, 6, 16, 20, 36, 54, 60, 96, 124, 150, 252, 356, 460, 612, 654, 664, 698, 702, 972, 1188, 1312, 3062, 4214, 4288, 5280, 9100, 20262, 21676, 24828, 46144, 62148, 79974, 117784, 211464, 310744, 310754, 429318, 601158, 605394

Offset

1,1

References

H. Riesel, "Prime numbers and computer methods for factorization", Progress in Mathematics, Vol. 57, Birkhäuser, Boston, 1985, Chap. 4, see pp. 381-384.

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

Table of n, a(n) for n=1..40.

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

R. K. Guy, The strong law of small numbers. Amer. Math. Monthly 95 (1988), no. 8, 697-712. [Annotated scanned copy]

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

Kosmaj, Riesel list k<300.

H. C. Williams and C. R. Zarnke, A report on prime numbers of the forms M = (6a+1)*2^(2m-1)-1 and (6a-1)*2^(2m)-1, Math. Comp., 22 (1968), 420-422.

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

Crossrefs

Sequence in context: A000068 A067662 A248334 * A053285 A286850 A228119

Adjacent sequences: A001771 A001772 A001773 * A001775 A001776 A001777

Keyword

hard,nonn

Author

N. J. A. Sloane

Extensions

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

Status

approved