> From: Simon Rubinstein-Salzedo [mailto:[EMAIL PROTECTED]]
> Last night I was reading a number theory textbook, and I
> thought of this odd conjecture: is one more than the
> primorial of a Mersenne prime always a prime? I wouldn't
> have a clue where to start on proving it, so if anyone
> had any ideas, I'd appreciate it. Thanks.
You would probably find it difficult to prove, not least because it's
false.
According to Caldwell's lists, the only primorial+1 primes, p#+1, for p<
100000 are
p=2, 3, 5, 7, 11, 31, 379, 1019, 1021, 2657, 3229, 4547, 4787, 11549,
13649, 18523, 23801, 24029 and 42209
I don't see the Mersenne prime 257 in there.
Paul
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