56131

Properties

Appears in sequences

• Consider all ways of writing a number as p+2m^2 where p is 1 or a prime and m >= 0; sequence gives numbers that are expressible in at least 2 more ways than any smaller number.at n=25A016067
• Primes p such that p, p+18, p+36 are consecutive primes.at n=8A052189
• G.f.: 1/p(x) where p(x)=x^5 + 2x^4 - 2x^3 - x^2 + 2x - 1.at n=12A153122
• Primes of the form (p^2+2)/33 (with p prime).at n=17A165673
• a(0) = 1; for n > 0, a(n) = 41*n^2 + 2.at n=37A206399
• Number of (w,x,y,z) with all terms in {1,...,n} and w*x+y*z>n^2.at n=28A212136
• Minimal natural number (in decimal representation) with n prime substrings in base-6 representation (substrings with leading zeros are considered to be nonprime).at n=17A217306
• Numbers k such that (prime(j)-1)^2 + 1 is prime for k <= j <= k + 2.at n=34A376522
• a(n) = p(n^2*p(n)), where p(x) is the least prime > x.at n=37A378137
• Prime numbersat n=5696