44773

Properties

Appears in sequences

• a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists.at n=39A038664
• Increasing peaks in the prime gap sequence A038664.at n=9A086979
• Numbers n such that n*359# +-1 are twin primes, where 359# = 72nd primorial (A002110(72)).at n=34A087907
• Lesser prime factor of semiprimes in A089542.at n=22A089543
• a(n) = A000040(A096480(n)).at n=39A096481
• Prime numbers p such that p +- ((p-1)/7) are primes.at n=25A137770
• Primes having only {3, 4, 7} as digits.at n=36A199347
• Prime numbers (together with one) whose representation in balanced ternary are palindromes.at n=48A224502
• Number of partitions of n not containing the number of distinct parts as a part.at n=44A239946
• Numbers n such that (43^n - 1)/42 is prime.at n=6A240765
• Numbers k such that 7*R_k - 30 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=18A256829
• Primes p congruent to 1 modulo 13 such that x^13 = 2 has a solution modulo p.at n=24A275773
• a(n)=position of the first occurrence of a local maximum equal to 2n in A001223, n>1.at n=38A286729
• a(n) = 6*binomial(n,4) + 6*binomial(n,3) + 4*binomial(n,2) + 2*n + 1.at n=21A385689
• Prime numbersat n=4653