131113

Properties

Appears in sequences

• Primes that contain digits 1 and 3 only.at n=23A020451
• Primes arising in A036976.at n=26A036977
• Primes arising in A036978.at n=32A036979
• Primes formed by the concatenation k, k-2, k.at n=2A068681
• Primes formed by the concatenation p,q,p where p and q are successive primes and p>q.at n=1A068683
• 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=32A083983
• Primes arising in A090266.at n=4A090267
• Numbers k (with no zero digits) with property that k raised to the product of its digits plus the sum of its digits is prime.at n=23A098797
• Primes with digital product = 9.at n=9A107695
• 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=39A108388
• Twin prime pairs using digits 1 and 3 only.at n=5A111070
• Positive integers with the same number of 1s in base 10 and base 2.at n=23A153115
• Primes of the form 2^x+2*x+y+2^y, with x and y integers of any sign.at n=40A162575
• Primes of the form 2^k + 41.at n=4A176925
• Primes of the form abcdabcd..abcdab.at n=20A187114
• Primes that indicate that the total frequency of every decimal digit in the set of all primes up to and including that prime is odd.at n=13A192448
• Primes of the form XYYX, where Y is a single digit.at n=0A214290
• Primes n of the form 1000p+q with primes p and q, 998>p>q>100.at n=4A228268
• Primes p such that sum and product of decimal digits of p are both semiprimes.at n=27A245381
• Smallest prime of the form "Concatenate(m,n,m)".at n=11A252942