41233

Properties

Appears in sequences

• Sixth term of strong prime sextets: p(m-4)-p(m-5) > p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=13A054818
• Start of a record-breaking run of consecutive integers with an odd number of prime factors.at n=9A066794
• Primes arising as the successive difference in A090910.at n=32A090913
• Let H(n) be the reduced fraction Sum_{i=1..n} 1/i. a(n) is the least factor of H(n)'s numerator or denominator that doesn't divide either part of any earlier H(m).at n=14A113571
• Largest prime factor of Stirling numbers of first kind s(n,2) = A000254(n).at n=13A120299
• Concatenation of n-th prime and n-th Fibonacci number.at n=12A138822
• a(n) is the smallest k such that the n consecutive values L(k), L(k+1), ..., L(k+n-1) = -1, where L(m) is the Liouville function A008836(m).at n=14A175202
• Least prime p such that H(n) == 0 (mod p) but H(k) == 0 (mod p) for no 0 < k < n, or 1 if such a prime p does not exist, where H(n) denotes the n-th harmonic number sum_{k=1..n}1/k.at n=14A242223
• First occurrence of a run of exactly n consecutive integers with an odd number of prime factors.at n=14A275509
• Greatest of 4 consecutive primes with consecutive gaps 6, 4, 2.at n=34A290635
• Table, read by rows: row n contains the prime factors of A001008(n) (numerator of n-th harmonic number), with multiplicity.at n=27A308968
• Table, read by rows: row n contains the prime divisors of A001008 (numerator of n-th harmonic number), without repetitions.at n=22A308969
• Largest prime factor of A001008(n), numerator of n-th harmonic number; a(1) = 1.at n=14A308971
• Numbers k such that (44^k + 1)/45 is prime.at n=2A309411
• The number of regions inside a Reuleaux triangle formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.at n=10A340639
• Prime numbersat n=4318