45757
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) is the smallest prime m such that prod(m) = n*length(m)*sum(m) where prod(m) is the product of the digits of m, length(m) is the number of digits of m, sum(m) is the sum of the digits of m; or 0 if no such m exists.at n=34A064023
- Primes which are the sum of the first k nonprimes for some k >= 2.at n=30A128927
- Primes in the chain of repeated application of x->2*x+3, starting at x=1427.at n=5A163589
- Primes having only {4, 5, 7} as digits.at n=20A217039
- a(n) = smallest prime q > a(n-1) such that 2*prime(n)*q^prime(n)+1 is also prime.at n=15A225747
- Row sums of triangle in A139040.at n=48A238383
- Primes p such that 2*p^2 + 3 and 2*p^2 + 5 are also primes.at n=32A247197
- Primes formed by an m-digit prime concatenated with its last (m-1) digits, for m > 1.at n=20A252667
- Primes of the form (1 + x)^y + (-x)^y where y is a divisor of x.at n=43A285887
- Prime powers that are equal to the sum of the first k prime powers (not including 1) for some k.at n=24A364797
- Primes having only {0, 4, 5, 7} as digits.at n=34A386070
- Primes having only {4, 5, 6, 7} as digits.at n=34A386188
- Primes having only {4, 5, 7, 8} as digits.at n=37A386190
- Prime numbersat n=4740