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Double Mersennes Prime Search

Primes of the form 2 * k * Mp + 1.

Count of primes.

MMp #Completely searched
through k_cmp		Primes
witk k <= k_cmp		Primes
witk k > k_cmp		Number of primes total
k mod 4 = 0,1k mod 4 = 2,3
2281 17 10,000,000 6,303 0 856 7,159
3217 18 10,000,000 3,311 0 0 3,311
4253 19 10,000,000 21 28 0 49
4423 20 10,000,000 20 24 0 44
11213 23 10,000,000 113 4 0 117
19937 24 10,000,000 29 2 0 31
21701 25 10,000,000 561 563 0 1,124
23209 26 10,000,000 619 3 0 622
44497 27 10,000,000 341 1 0 342
86243 28 10,000,000 166 0 0 166
110503 29 10,000,000 132 0 0 132
132049 30 7,500,000 100 0 0 100
216091 31 5,000,000 39 1 117 157
756839 32 5,000,000 4 0 0 4
859433 33 3,500,000 6 0 0 6
1257787 34 2,500,000 5 0 0 5
1398269 35 2,000,000 1 0 0 1
2976221 36 2,000,000 3 0 0 3
3021377 37 2,000,000 1 0 0 1

  • The list of primes is complete for each MMp for k = 1 through k_cmp.
  • Only primes with k mod 4 = 0 or 1 are possible factors of Double Mersenne numbers.
  • k mod 4 = 2,3 were not searched for primes for MMp >= 756839.

 

Database search.

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	To   Mp          
	From k           
	To   k        
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