30697

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 6x + 7.at n=26A023289
• a(n) = (1/C(n,0) + 1/C(n,1) + ... + 1/C(n,k))*L, where k = [ n/2 ], L = LCM{C(n,0), C(n,1),..., C(n,n)}.at n=12A025534
• Number of divisors of n! which are also differences between consecutive divisors of n! (ordered by size).at n=22A060742
• Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646].at n=35A078856
• Numerator of Sum_{k=0..[n/2]} 1/binomial(n,k).at n=12A100560
• Prime septets of form k, k+2100, k+4200, k+6300, k+8400, k+10500, k+12600.at n=16A123107
• Numbers k such that A144264(k) = A144264(k+1).at n=17A144359
• Primes p such that all the digits needed to write the consecutive Primes from 2 to p fill exactly a square (no holes, no overlaps).at n=35A158024
• Smaller member p of a pair (p,p+6) of consecutive primes in different centuries.at n=24A160370
• a(n) = n*A340339(n)+b, where b = 1 if n is even or 2 if n is odd.at n=34A340340
• G.f. satisfies A(x) = exp( Sum_{k>=1} (A(x^k) + A(i*x^k) + A(-x^k) + A(i^3*x^k))/4 * x^k/k ), where i = sqrt(-1).at n=42A363405
• First of a sequence of exactly n consecutive primes whose squares have the same last digit.at n=7A366310
• Prime numbersat n=3311