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Old 2011-03-17, 21:29   #45
allasc
 
Aug 2010
SPb

428 Posts
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Another interesting sequence

in OEIS A187923

Numbers n with property that 2^(m-1)=1(mod m) and n=3(mod 4) where m=(2*n-1)*n

47, 67, 2731, 2887, 5827, 13567, 41647, 44851, 46051, 47911, 59671, 61231, 66571, 78439, 90107, 109891, 138007, 141067, 144451, 164011, 183907, 321091, 406591, 430987, 460531, 501187, 513731, 532027, 537587, 554731, 598687, 673207, 677447, 792067, 912367, 1015171, 1162927...

for n<=708993451
all elements of prime numbers

Please help find exceptions if they are.

------------------

Number m has the interesting property.

For each item found n this sequence, we have the value m = (2*n-1) * n.

This value of m has the following property: p^(m-1)==1(mod m) where p=(2^i)-2 where (i - integer>=2)

as called pseudo-prime numbers that satisfy Fermat's little theorem for any base of (2^i)-2 where i - integer>=2 ????

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