131311

Properties

Appears in sequences

• Primes that contain digits 1 and 3 only.at n=24A020451
• Primes arising in A036976.at n=28A036977
• Primes > 1000 in which every substring of lengths 2 and 3 are also prime.at n=16A069490
• If k is a number with exactly two distinct decimal digits, say a and b, neither of which is 0 (i.e., a member of A101594), define the self-complement of k, SC(k), to be the number obtained by replacing a with b and vice versa. E.g. SC(232233) = 323322. Sequence contains primes p such that SC(p) is also a prime.at n=33A083983
• Concatenate (1,n,n,1).at n=31A100846
• Primes of the concatenated form 1nn1 where n is an integer >=0.at n=5A102497
• Primes with digital product = 9.at n=10A107695
• Transmutable primes: Primes with distinct digits d_i, i=1,m (2<=m<=4) such that simultaneously exchanging all occurrences of any one pair (d_i,d_j), i<>j results in a prime.at n=41A108388
• Palindromic primes in the sense of A007500 with digits '0', '1' and '3' only.at n=30A199303
• The generalized Fibonacci words q_n^[5].at n=2A221156
• Primes p such that sum and product of decimal digits of p are both semiprimes.at n=29A245381
• Primes such that the decimal digits in the first half of the number are a nontrivial permutation of the digits in the second half.at n=8A297994
• Emirps containing only the digits 1 and 3.at n=5A335787
• Numbers p such that p, 2p-1, 3p-2, 4p-3 are primes.at n=31A336059
• Prime numbersat n=12269