18097

Properties

Appears in sequences

• Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=39A005471
• Primes that are palindromic in base 2 (but written here in base 10).at n=31A016041
• Numbers k such that the continued fraction for sqrt(k) has period 51.at n=30A020390
• a(n) = A059333(2^n).at n=7A059360
• Primes p such that q-p = 22, where q is the next prime after p.at n=33A061779
• Integers n > 10583 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10583.at n=12A066055
• Primes whose digits can be arranged in increasing cyclic order - to form a substring of 123456789012345678901234567890...at n=29A068710
• a(n) = A075443(A075451(n)).at n=29A075452
• Numbers in ascending order formed by using all the digits of the next n numbers.at n=22A081991
• Integers n such that n is prime and x is prime, where (x,y) is the smallest solution to the Pell equation with D = n.at n=17A109748
• Numbers n such that P(11*n) is prime where P(n) is the partition number.at n=23A113499
• a(0) = a(1) = a(2) = 1, a(n) = largest prime <= a(n-1) + a(n-2) + a(n-3).at n=18A126273
• Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=11A135844
• Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=7A135845
• Primes congruent to 24 mod 53.at n=32A142554
• Primes congruent to 43 mod 59.at n=38A142770
• Primes congruent to 41 mod 61.at n=34A142839
• Primes p such that (p-1)*p*(p+1)-p+2 and (p-1)*p*(p+1)+p-2 are primes.at n=27A154944
• Number of permutations of 1..n containing the relative rank sequence { 156432 } at any spacing.at n=3A159132
• Primes p such that p*(p-1)/2-5 and p*(p-1)/2+5 are also prime numbers.at n=35A164623