A co-ordinated search for primes in the Payam number series

Let the Payam number E{x} be the least value of k for which all prime numbers with order base 2 of less than or equal to x, are not factors of the series k*2^n+ or - 1 (from n=1 to infinity)

Below is a table of ranges of n for Payam numbers and n that have already been completed or are reserved for current prime testing

Small E{x} (k=3, 9, 15, 45, 105 and 165) are caught in other prime searches.

Choose a range larger than the completed or reserved ranges, email me, and good hunting.

E{x}.2^n - 1
E{x}
n Range
Status
n Range
Reserved by
k=E{x}
k=factors of E{x}
E{10}
0-38,000
Completed
2145
3*5*11*13
E{11}
0-45,000
Completed
2805
3*5*11*17
E{17}
0-45,000
Completed
92235
3*5*11*13*43
E{25}
0-41,000
Completed
529815
3*5*11*13*13*19
E{27}
0-40,000
Completed
1426425
3*5*5*7*11*13*19
E{35}
0-40,000
Completed
247016055
3*5*11*11*13*19*19*29
E{36}
0-23,000
Completed
74297465385
3*5*11*13*19*29*37*1699
E{38}
0-11,000
Completed
77271113205
3*3*5*11*13*19*19*29*31*37
E{43?}
0-27,000
Completed
191844014505
3*5*11*13*19*29*37*41*107

E{x}.2^n + 1
E{x}
n Range
Status
n Range
Reserved by
k=E{x}
k=factors of E{x}
E{17}
0-40,000
Completed
75075
3*5*5*7*11*13
E{19}
0-68,000
Completed
855855
3*3*5*7*11*13*19
E{22}
0-40,000
Completed
5583435
3*5*11*13*19*137
E{27}
0-91,000
Completed
18625035
3*5*11*13*19*457
E{34?}
0-40,000
Completed
27183585
3*5*11*13*19*23*29
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Last updated 9 November 2002