36809

Properties

Appears in sequences

• Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=30A022464
• Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=30A050268
• Primes p such that p, p+12, p+24 are consecutive primes.at n=37A052188
• Primes p such that the polynomial x^5-x^4-x^3-x^2-x-1 mod p has 5 distinct zeros.at n=29A106281
• a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=44A117081
• Smallest odd prime base q such that p^3 divides q^(p-1) - 1, where p = prime(n).at n=18A125637
• Prime numbers p for which quintonacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is completely factorizable.at n=30A135846
• Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x^5 - x^4 - x^3 - x^2 - x - 1 modulus p is factorizable into five binomials.at n=24A135847
• Primes of the form 20*k^2 + 36*k + 17.at n=17A154419
• Primes of the form (k^2+4)/5.at n=38A245042
• Lexicographically largest increasing sequence of primes for which the continued square root map (see A257574) produces Pi.at n=27A257582
• Primes whose base-6 representation is a square when read in base 10.at n=13A267820
• Primes that can be generated by the concatenation in base 7, in ascending order, of two consecutive integers read in base 10.at n=30A287308
• Number of integer partitions of n whose negated first differences (assuming the last part is zero) are not unimodal.at n=40A332744
• Number of simple 3-connected triangulations of a disk with n nodes.at n=8A341922
• Prime numbersat n=3904