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A183077 Numbers of the form 2^p - 1, with p prime, for which each prime divisor has the form 4j + 3. 8
3, 7, 31, 127, 8191, 131071, 524287, 2147483647, 8796093022207, 2305843009213693951, 604462909807314587353087, 618970019642690137449562111, 162259276829213363391578010288127, 170141183460469231731687303715884105727 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The Mersenne primes (A000668) are contained in this sequence.
Needed factorizations are in the Cunningham Project.
LINKS
S. S. Wagstaff, Jr., The Cunningham Project.
FORMULA
a(n) = 2^A183073(n) - 1.
EXAMPLE
8796093022207 = 2^43 - 1 = 431 * 9719 * 2099863.
CROSSREFS
Sequence in context: A057612 A136005 A336720 * A088552 A000668 A136007
KEYWORD
nonn,hard
AUTHOR
Stuart Clary, Dec 23 2010
STATUS
approved

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Last modified March 19 04:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)