20357

Properties

Appears in sequences

• Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers.at n=36A023192
• a(n) = prime(100*n).at n=22A031921
• Sum of n-th antidiagonal of A082191.at n=31A082195
• Chebyshev polynomials S(n,27) + S(n-1,27) with Diophantine property.at n=3A097834
• Primes of the form p^3 + q^3 + r^3, where p, q and r are primes.at n=30A123597
• Prime numbers n such that n = p1^3 + p2^3 + p3^3, a sum of cubes of 3 distinct prime numbers.at n=10A137365
• Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime.at n=10A137366
• Primes congruent to 2 mod 59.at n=40A142729
• Primes congruent to 44 mod 61.at n=36A142842
• Number of (n+1) X 5 0..2 matrices with each 2 X 2 subblock idempotent.at n=13A224672
• Primes of form n^2 + 2401.at n=16A256835
• Smallest prime in the sequence s(k) = n*s(k-1) - s(k-2), with s(0) = 1, s(1) = n + 1 (or -1 if no such prime exists).at n=26A269253
• Twin primes both of which are the sum of three positive cubes.at n=16A272376
• Smallest of four consecutive primes in arithmetic progression with common difference 42 and all digit sums prime.at n=16A277607
• Primes p of the form 8*k + 5 such that every odd prime divisor of p-1 has the form 8*t + 7.at n=40A306932
• Numbers k such that replacing each digit d in the decimal expansion of k with d^3 yields a prime each time, when done recursively three times.at n=10A316982
• Primes p such that Sum_{k=PreviousPrime(p)..p} d(k) = Sum_{k=p..NextPrime(p)} d(k), where d(k) is the number of divisors function A000005.at n=21A353552
• Primes p such that if q is the next prime, (p+q)/6 is a triangular number.at n=36A356293
• Primes p such that the polynomial x^7 - 7*x + 3 (mod p) is the product of seven linear factors.at n=11A358147
• Interlopers in sexy prime quadruples.at n=24A358322