36583
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(0) = 13; for n > 0, a(n) is the greatest prime factor of PreviousPrime(a(n-1))*a(n-1)-1 where PreviousPrime(prime(k))=prime(k-1).at n=11A031442
- Numbers k such that 2^k - prime(k)^2 is prime.at n=17A116999
- Prime numbers n such that n = p1^3 + p2^3 + p3^3, a sum of cubes of 3 distinct prime numbers.at n=19A137365
- Prime numbers p such that p +- ((p-1)/7) are primes.at n=19A137770
- Numbers in A137365 but not in A137366.at n=1A138556
- For prime p=A000040(n), the smallest prime divisor of (p-1)^p+1 other than p.at n=16A177996
- n^3 + floor(n^3/2).at n=28A211786
- Primes that are the sum of 25 consecutive primes.at n=40A215991
- Prime numbers (together with one) whose representation in balanced ternary are palindromes.at n=42A224502
- Primes of the form T(k) + S(k) + 1 where T(k) is the k-th triangular number and S(k) is the k-th square number.at n=32A229080
- a(n) = n*prime(prime(n)) - prime(n).at n=37A230285
- Numbers k such that (4*10^k + 137)/3 is prime.at n=22A289751
- Smallest positive integer that has exactly n representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes.at n=17A317385
- Primes having only {3, 5, 6, 8} as digits.at n=44A386179
- Prime numbersat n=3879