37997

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 20.at n=7A031608
• Primes with digit sum = 35.at n=12A106770
• Primes p such that p's set of distinct digits is {3,7,9}.at n=28A108385
• Primes p such that |100-p|, |1000-p|, |10000-p| and |100000-p| are also primes.at n=30A126021
• Home primes whose homeliness is 5.at n=22A133964
• a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5, n+6, n+7 and the operators +, -, *, /, using each number only once.at n=26A143192
• Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1100-1111-0001 pattern in any orientation.at n=11A146850
• Primes of the form x^2 + 17*y^2, where x and y=x+1 are consecutive natural numbers.at n=8A176622
• Partial sums of A061262.at n=40A176661
• Sequence of distinct least nonnegative numbers such that the average of the first n terms is a cube.at n=35A245621
• Number of (n+2) X (1+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1.at n=21A257440
• Number of square plane partitions of n with distinct row sums and distinct column sums.at n=38A306320
• Successive primes building the lexicographically earliest k X k 'Futility Squares' (see the Comment and Example sections for more explanations).at n=13A368051
• Prime numbersat n=4017