Permutations and primes

Details Permutations and primes Permutations and primes

1999-07-11

arxiv.org/abs/math/9907064v1

Mathematics

Number Theory

25 pages, 5 figures

Scientific paper

The problem of N-digit sets all permutations of which give primes is discussed. Such sets may include only digits 1, 3, 7 and 9, and none of 0, 2, 5, 4, 6, 8. Direct calculations show that such full-permutation digit sets occur at N = 1, 2, 3 and are absent in the 4 - 10 interval of N. On the other hand the formal full permutation at N = 19, 23, 317 and 1031 (as well at N = 2) cases is provided by repunits (integers all digits of which are 1). The existence/nonexistence of other (not repunits) full-permutation digit sets for arbitrary large N is an open question with probable negative answer. The maximal-permutation digit sets with maximal number of primes are given for N = 4 - 10.

Affiliated with

Also associated with

No associations

Rating

Permutations and primes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Permutations and primes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Permutations and primes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-653382