Proth prime - Wikipedia A Proth number is a natural number N of the form = + where k and n are positive integers, k is odd and > A Proth prime is a Proth number that is prime They are named after the French mathematician François Proth [2] The first few Proth primes are
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Proth Prime -- from Wolfram MathWorld A Proth number that is prime, i e , a number of the form N=k·2^n+1 for odd k, n a positive integer, and 2^n>k Factors of Fermat numbers are of this form as long as they satisfy the condition k odd and k<2^n