19417

Properties

Appears in sequences

• Positions of remoteness 3 in Beans-Don't-Talk.at n=43A005695
• Numbers k such that the continued fraction for sqrt(k) has period 97.at n=8A020436
• Initial members of prime 5-tuples (p, p+4, p+6, p+10, p+12).at n=7A022007
• Initial member of prime sextuples (p, p+4, p+6, p+10, p+12, p+16).at n=3A022008
• Primes followed by a [4,2,4] prime difference pattern of A001223.at n=33A052378
• Primes p such that three (the maximum number) primes occur between p and p+12.at n=12A086140
• Initial values for 3x+1 trajectories in which the largest term arising in the iteration is a power of 2.at n=40A095381
• Primes p such that p^2-p-1 and p^2-p+1 are twin primes.at n=38A120364
• Values of A134204(n) for n in A133242.at n=32A133243
• Expansion of q^(-3/4) * eta(q)^2 * eta(q^2)^4 * eta(q^8)^4 / eta(q^4)^6 in powers of q.at n=40A135467
• Primes A080478(n)^2 + A080478(n+1)^2.at n=15A139361
• Primes congruent to 6 mod 59.at n=38A142733
• Primes congruent to 19 mod 61.at n=33A142817
• Primes congruent to 34 mod 71.at n=29A154624
• Primes followed by at least five consecutive primes as closely as possible.at n=21A156114
• Odd numbers producing 4 odd numbers in the Collatz iteration.at n=32A198587
• Initial primes in prime sextuplets (p, p+4, p+6, p+10, p+12, p+16) preceding the maximal gaps in A200503.at n=2A200504
• Initial primes in prime 5-tuples (p, p+4, p+6, p+10, p+12) preceding the maximal gaps in A201062.at n=4A201063
• Primes that remain prime when a single digit 9 is inserted between any two consecutive digits or as the leading or trailing digit.at n=22A215421
• G.f.: Sum_{n>=0} n! * x^n * Product_{k=1..n} (2*k-1) / (1 + k*(2*k-1)*x).at n=5A221972