32183

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 8x + 9.at n=14A023295
• Prime number spiral (clockwise, West spoke).at n=29A054570
• Fourth term of strong prime sextets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=8A054816
• Least initial value for a Euclid/Mullin sequence whose 3rd term (= least prime divisor of 1+2p) equals the n-th prime. prime(1)=2 is never a third term, so offset=2.at n=41A094464
• Smallest number whose n-th power begins with precisely n identical digits (in base ten).at n=5A131699
• a(n) = smallest number k such that the decimal expansion of k^n begins with a string of at least n identical digits.at n=5A132392
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 16 : primes in A146339.at n=14A146361
• 5-Ramanujan primes; the interval (x/2,x] has at least n 4-Ramanujan primes for x >= a(n) but not for x = a(n)-1.at n=37A192823
• Numbers m such that m, m-1, m-2 and m-3 are 1,2,3,4-almost primes respectively.at n=36A201220
• a(n) = the first positive integer, not ending in zero, whose cube has a substring of exactly n identical digits.at n=5A285056
• Number of partitions of 2n into exactly n nonzero decimal palindromes.at n=47A319454
• G.f. A(x) satisfies A(x) = 1 + (x * (1+x))^3 * A(x)^2.at n=18A378153
• Prime numbersat n=3452