57557
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that contain digits 5 and 7 only.at n=8A020467
- Smallest n-digit prime containing only the digits 5 and 7, or 0 if no such prime exists.at n=4A036946
- Primes with only prime digits and whose initial, all intermediate and final iterated sums of digits are primes.at n=24A070029
- Twin primes whose digits are primes.at n=16A087367
- Primes p such that the p-1 digits of the binary expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.at n=17A096339
- Primes whose digits do not appear in three previous terms.at n=19A107367
- Let p be an element of A110028. Let L(p) be the sorted list of digits of p and let LL be the set of all L(p) with duplicates removed and ordered lexicographically. Then a(n) is the first element of A110028 such that L(a(n))=LL(n).at n=18A117608
- Primes p such that p,q,r,s are consecutive primes and 2p+9, 2q+9, 2r+9, 2s+9 are also primes.at n=12A190354
- Primes that contain only the digits (2, 5, 7).at n=27A214705
- Primes having only {4, 5, 7} as digits.at n=27A217039
- Sum of column entries of the table with rows of prime numbers (2,3,0,0,...), (0,5,7,11,0,...), (0,0,13,17,19,23,0,...), (0,0,0,29,31,37,41,43,0,...), ...at n=36A238760
- Primes having only {0, 5, 7} as digits.at n=17A260827
- Primes having only {5, 6, 7} as digits.at n=14A260829
- Primes having only {5, 7, 8} as digits.at n=17A260830
- Primes having only {5, 7, 9} as digits.at n=21A260831
- Numbers k with digits 5 and 7 only.at n=39A284380
- Indices of primes in A027998.at n=36A285224
- Primes having only {0, 5, 6, 7} as digits.at n=29A386077
- Primes having only {0, 5, 7, 8} as digits.at n=35A386079
- Primes having only {5, 6, 7, 8} as digits.at n=31A386196