44777
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that contain digits 4 and 7 only.at n=4A020465
- Primes in which each digit occurs in runs of at least 2.at n=9A034873
- Smallest n-digit prime containing only the digits 4 and 7, or 0 if no such prime exists.at n=4A036944
- Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=27A065044
- Engel expansion of zeta(4) = Pi^4/90 = Sum_{i>0} 1/i^4.at n=9A067912
- Primes of the form p^2 + q^8 where p and q are primes.at n=11A122710
- Primes q such that p = (r+q+s-1)/2 is a balanced prime, where r, q, s are consecutive primes.at n=15A129190
- Numbers k such that k and k^2 use only the digits 0, 2, 4, 7 and 9.at n=28A136907
- Primes containing 777 as a substring.at n=10A167282
- Primes having only {3, 4, 7} as digits.at n=37A199347
- Primes having only {4, 5, 7} as digits.at n=18A217039
- Number of (n+1)X(2+1) 0..2 arrays with row and column sums nondecreasing, and no adjacent elements equal.at n=12A233403
- Primes of form n^2 + 256.at n=37A256776
- Primes having only {4, 7, 9} as digits.at n=23A261183
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 803", based on the 5-celled von Neumann neighborhood.at n=32A273578
- Numbers with digits 4 and 7 only.at n=37A284971
- Lexicographically first sequence of distinct terms such that the sum of any two terms is not a term of the sequence, and the sum of any two digits is not a digit of the sequence.at n=39A302938
- Primes that are partial sums of the semiprimes.at n=22A347366
- Primes ending in 777.at n=8A381004
- Primes with at least two identical trailing digits and at least two identical leading digits.at n=35A384015