33113

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 87.at n=24A020426
• Primes that contain digits 1 and 3 only.at n=17A020451
• Numbers k such that replacing each nonzero digit d with the d-th prime (replacing each 0 digit with a 1) yields a square.at n=10A048383
• Primes such that the sum of their digits and the sum of the reciprocals of their digits is also prime.at n=18A064779
• Class 7- primes.at n=15A081426
• Primes of the form n^2 - 11.at n=23A091272
• Primes in which the frequency of every digit is also prime.at n=26A113615
• Smallest prime of the form: all threes followed by prime(n). a(n) >prime(n). 0 if no such prime exists.at n=29A114785
• a(1) = 1; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that the concatenation of any three consecutive digits in the sequence is a prime.at n=22A152608
• Larger of two consecutive prime numbers, p1 and p2 = p1 + d, such that p1*p2*d - d is the average of twin primes.at n=4A153379
• Primes having only {1, 3, 4} as digits.at n=37A199341
• List of primitive words over the alphabet {1,3}.at n=46A213970
• Primes such that prime plus its digit sum is a perfect square.at n=15A230087
• Prime numbers n such that replacing each digit d in the decimal expansion of n with prime(d) produces a square. Zeros are not allowed.at n=3A254038
• Primes whose sum of reciprocal of digits is a prime.at n=20A266815
• Limerick primes: Primes with decimal representation of the form AABBA, with B < A.at n=0A332200
• Prime numbersat n=3550