55667
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Third term of weak prime sextet: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=17A054830
- Primes with minimal digit = 5.at n=42A106105
- Primes of the form k^2 + k + 55661, with k >= 0.at n=2A116206
- Primes of a Generalized Cunningham chain of length 9 by the function f(p) = 2 * p + 13.at n=4A176268
- Primes such that prime plus its digit sum is a perfect square.at n=21A230087
- Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=9A241285
- Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=1A254507
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=7A254512
- Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=2A254513
- Primes having only {5, 6, 7} as digits.at n=12A260829
- a(n) is the smallest nonnegative k such that there is no 3 X 3 matrix with entries in {1,...,n} whose determinant is k.at n=32A262719
- Primes which contain the fax number of the beast (667).at n=18A321001
- a(n) = n*A340339(n)+b, where b = 1 if n is even or 2 if n is odd.at n=44A340340
- Prime numbers with monotonically increasing digits, increasing by only 0 or 1.at n=20A378774
- Primes having only {0, 5, 6, 7} as digits.at n=26A386077
- Primes having only {5, 6, 7, 8} as digits.at n=26A386196
- Primes having only {5, 6, 7, 9} as digits.at n=47A386197
- One third the number of solid partitions of n with 5 parts.at n=39A387998
- Prime numbersat n=5649