40639
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerators of continued fraction convergents to sqrt(871).at n=6A042682
- Smaller of two consecutive primes which are anagrams of each other.at n=12A069567
- List of Ormiston prime pairs.at n=24A072274
- Primes for which the five closest primes are smaller.at n=28A075037
- Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=17A082889
- Primes p such that (r-p)/log(p) > 5, where r is the next prime after p.at n=6A082890
- Middle q of three consecutive primes p,q,r, such that one adjacent prime is near, the other is far and the ratio of the differences (whichever of (r-q)/(q-p) or (q-p)/(r-q) is greater than 1) sets a record.at n=13A084105
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 14.at n=4A109568
- Numbers appearing in A122072 at least four times.at n=35A122390
- Largest term in rows of triangle A126470, in which row sums equal factorials.at n=9A126472
- Smaller prime p in Ormiston pairs (p, q) with q - p = 54.at n=1A163680
- a(n) is the smallest prime q such that (r-q)/(q-p) = n, where p<q<r are consecutive primes (or 0 if no such prime exists).at n=26A179210
- Constant term of the reduction by x^2->x+1 of the polynomial p(n,x) defined at Comments.at n=11A193046
- Primes p such that q-p = 54, where q is the next prime after p.at n=2A204666
- Numbers k such that the periodic part of the continued fraction of sqrt(k) has more ones than any smaller k.at n=40A206579
- Prime numbers such that, in base 10, all their proper prefixes and suffixes represent composites.at n=30A254754
- Indices where the cumulative sum of cos(2k+1)^(2k+1) reaches a record high value.at n=36A389559
- Prime numbersat n=4260