45013

Properties

Appears in sequences

• Initial prime in first sequence of n primes congruent to 5 modulo 8.at n=3A057633
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 10.at n=36A109564
• Primes p such that q-p = 40, where q is the next prime after p.at n=6A126721
• Number of binary strings of length n with equal numbers of 0000 and 0010 substrings.at n=17A164148
• Primes p containing the string "13" and sum of digits sod(p) = 13.at n=33A175017
• Primes of the form floor( (k*(sqrt(3)*k-1))/sqrt(2) ).at n=25A180449
• Odd numbers n for which the number of iterations to reach the largest equals number of iterations to reach 1 from the largest in Collatz (3x+1) trajectory of n.at n=17A224533
• Primes that are the sum of prime factors (with multiplicity) of a triprime which is the concatenation of three consecutive primes.at n=4A386228
• Prime numbersat n=4677