Like number theory, especially prime numbers, including: Finding large (probable) primes and factoring certain integers, both of the form (a*b^n+c)/gcd(a+c,b-1)
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Minimal elements for the base b representations of the prime numbers > b for the subsequence ordering, for 2 ≤ b ≤ 36
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For all bases 2<=b<=128 and b = 256, 512, 1024, finding and proving the smallest k>=1 such that (k*b^n+-1)/gcd(k+-1,b-1) (+ for Sierpinski, - for Riesel) is not prime for all integers n>=1.
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These are the status for all Sierpinski/Riesel bases 2<=b<=1024 for fixed k<=12. Search limit: 6000 for all (k,b) combo.
3,882 contributions in the last year
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