24989

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 63.at n=0A031651
• Number of degree-n irreducible polynomials over GF(2) with trace = 0 and subtrace = 1.at n=20A042979
• Number of degree-n irreducible polynomials over GF(2) with trace = 1 and subtrace = 1.at n=20A042982
• Number of binary Lyndon words of length n with trace 0 and subtrace 1 over Z_2.at n=20A074028
• Number of binary Lyndon words of length n with trace 1 and subtrace 1 over Z_2.at n=20A074030
• Numbers k such that 2*10^k + 4*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=11A102952
• Primes with digit sum = 32.at n=14A106768
• Lesser of two consecutive primes, p < q, such that both p*q+p-q and p*q-p+q are prime numbers.at n=30A154553
• Primes p such that q*p+-Mod(p,q) are primes, for q=7.at n=34A178387
• The sequence gives prime numbers formed from the sum of the squares of composite numbers and the corresponding prime numbers.at n=13A180233
• Numbers n with property that (n+1)*prime(n+1)-n*prime(n) is a perfect square s^2.at n=37A181283
• Primes q = 4*p+1, where p == 2 (mod 5) is also prime.at n=39A221981
• a(1) = 5; a(n) for n > 1 is the smallest prime > a(n-1) that differs from a(n-1) by a square.at n=57A246760
• Primes 10k + 9 preceding the maximal gaps in A269261.at n=7A269262
• Primes of the form k^2 + 25.at n=37A346145
• G.f. A(x) satisfies: A(x) = x + x^2 * exp( Sum_{k>=1} A(x^k)^2 / (k*x^k) ).at n=12A363387
• Sum over all partitions of n of the number of elements with minimal multiplicity in their partition.at n=33A372632
• Primes having only {2, 4, 8, 9} as digits.at n=24A386159
• Prime numbersat n=2762