Timeline for Infinitely many primes of the form $2^n+c$ as $n$ varies?
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| Oct 20, 2011 at 9:39 | comment | added | Timothy Foo | Ah, thanks very much. I really should have read the Lenstra-Pomerance-Wagstaff conjectures (en.wikipedia.org/wiki/Mersenne_conjectures) before I said the above. Thanks. | |
| Oct 20, 2011 at 7:11 | comment | added | Denis Chaperon de Lauzières | That seems unreasonable: the Euler product form in the twin prime, Schinzel, Bateman-Horn, etc, conjectures have their source in the Chinese Remainder Theorem (independence of reductions of integers modulo distinct primes). The analogue property fails for powers of $2$. (Or of any other integer $a\geq 2$). This is also why, for instance, sieve methods are unsuccessful for these types of questions. | |
| Oct 20, 2011 at 5:22 | history | answered | Timothy Foo | CC BY-SA 3.0 |