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Old 2019-05-01, 16:28   #11
danaj
 
"Dana Jacobsen"
Feb 2011
Bangkok, TH

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Quote:
Originally Posted by robert44444uk View Post
For my 6 twins in 81 combination (0,2,6,8,36,38,48,50,66,68,78,80) I found no examples testing up to 6.5e12

For the other 6 in 81 combination (0,2,12,14,30,32,42,44,72,74,78,80) I found 3 examples (29, 2,595,051,759,329, and 4,073,652,347,549) testing up to 6.37e12
For your second example, it takes 40 seconds to test to 10^14 using sieve_prime_cluster in serial on my macbook. Use the ktuplet-threads.pl example script to run in parallel.

29
2595051759329
4073652347549
15351703501919
20051437920179
75726824820389

For the first:
Code:
$ time perl -Mntheory=:all -E 'prime_set_config(verbose=>2); say for sieve_prime_cluster(0,1e14,2,6,8,36,38,48,50,66,68,78,80);'
cluster sieve found 1 residues mod 30
cluster sieve found 1 residues mod 210
cluster sieve found 3 residues mod 2310
cluster sieve found 9 residues mod 30030
cluster sieve found 63 residues mod 510510
cluster sieve found 567 residues mod 9699690
cluster sieve found 6804 residues mod 223092870
cluster sieve using 122472 residues mod 6469693230
cluster sieve ran 800074 MR and 48 Lucas tests
15204559856741
32799902384231
56052330360071
91598391480641

real	0m41.310s
user	0m39.732s
sys	0m0.343s
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