193939

Properties

Appears in sequences

• The smallest representative in a cycle of circular primes, where circular primes are numbers that remain prime under cyclic shifts of digits.at n=17A016114
• Numbers n such that (5^n+1)/6 is a prime.at n=10A057171
• Numbers such that every cyclic permutation is a prime.at n=43A068652
• Cyclic primes that are not absolute primes (A003459).at n=21A204844
• a(n) = smallest prime p for which cyclic digit shifts produce exactly n different primes, or 0 if no such p exists for n.at n=5A247153
• Numbers k such that the Phi_3(10^10000+k) is prime, where Phi is a cyclic polynomial.at n=13A259631
• Circular primes that are not repunits.at n=42A293663
• Square array A(n, k), read by antidiagonals downwards: k-th prime p such that cyclic digit shifts produce exactly n different primes.at n=20A317716
• Primes p such that exactly six numbers among all circular permutations of the digits of p are prime.at n=0A344630
• Smallest prime p > 10^(n-1) for which successive cyclic shifts of digits by 1, ..., n-1 positions to the left are all prime, or -1 if no such p exists.at n=5A380655
• Smallest prime p > 10^(n-1) for which successive cyclic shifts of digits by 1, ..., n-1 positions to the right are all prime, or -1 if no such p exists.at n=5A380669
• Prime numbersat n=17494