37907
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Solid partitions of n which are restricted to two planes.at n=15A002835
- Numerators of continued fraction convergents to sqrt(239).at n=6A041446
- Numerators of continued fraction convergents to sqrt(956).at n=8A042850
- a(1) = 1; for n > 1, a(n) = the smallest prime divisor of the number C(n) formed from the concatenation of 1,2,3,... up to n.at n=72A075019
- Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=15A082889
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 12.at n=2A109566
- Numbers appearing in A122072 at least four times.at n=28A122390
- Home primes whose homeliness is greater than 5.at n=17A133965
- Home primes whose homeliness is 6.at n=9A133966
- Primes p such that q-p = 44, where q is the next prime after p.at n=2A134121
- a(n) = 52*n^2 - 1.at n=26A158640
- Number of 1..14 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1.at n=3A171288
- Number of 1..n integer arrays v[1..4] of length 4 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..3.at n=13A171341
- Fajtlowicz p-primes.at n=40A185955
- Number of partitions of n such that m(2) < m(3), where m = multiplicity.at n=47A240063
- Number of set partitions of [n] such that the difference between each element and its block index is a multiple of three.at n=16A274836
- Expansion of 1/((1 - x)*(1 - Sum_{k>=0} x^(2^k))).at n=18A303666
- a(0) = 1; thereafter a(n) is the smallest prime divisor of the number C(6n+1) formeded from the concatenation of 1,2,3,...,6n+1.at n=12A320571
- Primes p such that (q*s-p*r)/2 and |p*s-q*r|/2 are both prime, where p,q,r,s are consecutive primes.at n=40A341802
- a(n) is the least prime p such that there are exactly n squarefree numbers strictly between p and the next prime, or -1 if there is no such p.at n=27A378111