93001
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = prevprime(A090117(n)), the largest prime previous to squares given in A090117, being such that distance of a(n) to the following prime equals 2*n.at n=22A090118
- Reverse digits of largest primes, append to sequence if result is larger prime then previous one with reverse digits.at n=22A098922
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 11.at n=22A109565
- Primes p such that q-p = 46, where q is the next prime after p.at n=2A134122
- Primes of the form 1000*k + 1.at n=20A156655
- Primes p of the form |prime(n+2)^2-prime(n+1)^2-prime(n)^2|, (absolute values).at n=26A176134
- Primes of the form (n^2+1)/26.at n=37A208292
- Primes p = 1 mod 6 such that all three iterations p=(6p+1) give primes = 1 mod 6.at n=21A210686
- Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + … + d_(2)*10 + d_(1). Sequence lists the numbers n such that sigma(n) - n = Sum_{i=1..k-1}{sigma(Sum_{j=1..i}{d_(j)*10^(j-1)}) - Sum_{j=1..i}{d_(j)*10^(j-1)}} (see example below).at n=43A240894
- Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + ... + d_(2)*10 + d_(1). Sequence lists the numbers n such that n' = Sum_{i=1..k-1}{Sum_{j=1..i}{d_(j)*10^(j-1)}}', where n' is the arithmetic derivative of n (see example below).at n=44A244078
- Prime numbersat n=8985