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Cullen number

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(As of 2019-02, template needed)

A Cullen number Cn is a number of the form n × 2n + 1,
a generalized Cullen number base b is a number of the form n × bn + 1. (perhaps own page?)

Cullen primes

Cn is prime for n = 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, 481899, 1354828, 6328548, 6679881 and for no other n < 17,200,000 (sequence A005849 in OEIS).

The largest known Cullen prime is 6,679,881 × 26,679,881 + 1 and the largest known generalized Cullen prime is 1,806,676 × 411,806,676 + 1.

Current status

See also

External links