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Aug 14, 2015 at 14:55 comment added joro Thank you for verifying :) About differences of Mathematica/Pari, there is a question like "CAS errors", there you can find examples when they disagree.
Aug 14, 2015 at 13:57 comment added Igor Rivin @joro Yes, I understood that. it's just that you asked in the question to check your numbers, and it is at least true that Mathematica and Pari/GP agree (not always true, I suspect)
Aug 14, 2015 at 12:58 comment added joro I mean I was wrong about the constant, not the numbers in the question.
Aug 14, 2015 at 12:56 comment added Igor Rivin @joro by the way, Mathematica does give the same numbers as yours for the numbers of prime values...
Aug 14, 2015 at 12:24 vote accept joro
Aug 14, 2015 at 11:50 comment added joro Oh, it was my mistake, now I confirm your result.
Aug 14, 2015 at 10:59 comment added Igor Rivin @joro first 10000 primes.
Aug 14, 2015 at 7:52 comment added ABCDveve Cohen has a draft preprint, on fast computation of Hardy-Littlewood constants. Maybe it is already in GP/PARI? math.u-bordeaux1.fr/~cohen/hardylw.dvi
Aug 14, 2015 at 6:34 comment added joro Did you compute infinite or finite product? If finite to what bound?
Aug 13, 2015 at 17:11 comment added joro Thanks. This might be sage bug or my mistake, but I get quite lower constant in sage.
Aug 13, 2015 at 16:43 history edited Igor Rivin CC BY-SA 3.0
added ref to BH
Aug 13, 2015 at 16:32 history answered Igor Rivin CC BY-SA 3.0