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 binu 2013-04-13 13:37

Advantage of lattice sieve over line sieve

In line sieve, we sieve for a particular small prime p for only once; and in lattice sieve, we sieve for that p for every special-q (p<q and number of special-q's may be very large). So, what is the gain in the latter one? Definitely, I am missing something. Can anyone please elaborate the gains/advantage of lattice sieve in details, and also on the choice of the parameters C and D.

 xilman 2013-04-13 14:18

[QUOTE=binu;336946]In line sieve, we sieve for a particular small prime p for only once; and in lattice sieve, we sieve for that p for every special-q (p<q and number of special-q's may be very large). So, what is the gain in the latter one? Definitely, I am missing something. Can anyone please elaborate the gains/advantage of lattice sieve in details, and also on the choice of the parameters C and D.

Thanks in advance.[/QUOTE]If you know in advance that a value is divisible by the prime special-q the number is more likely to be smooth.

 chris2be8 2013-04-13 16:05