55439

Properties

Appears in sequences

• tan(arctanh(x)-sin(x)) = 3/3!*x^3 + 23/5!*x^5 + 721/7!*x^7 + 55439/9!*x^9...at n=4A013390
• Sum of n plus its prime factors associated with A020700.at n=40A020905
• Smaller of twin primes whose middle term is a multiple of A002110(5)=2310.at n=6A060231
• Primes p such that p+2, 2p+1, and 2p+3 are also prime.at n=15A069142
• Primes p such that p+1 is a highly composite number.at n=15A072828
• Primes p such that 11 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=27A080187
• a(n) is the smallest prime of the form k*lcm(1..n) - 1.at n=10A083685
• a(n) is the smallest prime of the form k*lcm(1..n) - 1.at n=11A083685
• Primes p such that tau(p-1)+tau(p+1) is larger than for any previous term. (Smallest prime sandwiched between more composite numbers.)at n=32A090481
• a(n) is the smallest prime q such that floor(sigma(sigma(q))/q) = n.at n=3A098222
• a(n) = A126098(n) - 1.at n=23A117010
• Numbers n where either n or n+1 is divisible by the numbers from 1 to 12.at n=14A131662
• Prime numbers p such that 2*p+1, p*(p + 1) - 1 and p*(p + 1) + 1 are also primes.at n=20A136015
• Primes of the form colossally abundant number - 1.at n=5A136669
• Primes of the form A128646(k)-1 for some k (listed in A137689), where A128646 = denominators of partial sums of 1/(prime(i)-1).at n=6A137690
• Primes p where |p-m| = 1, where m is any of the smallest positive integers with their number of divisors. (m belongs to sequence A007416.)at n=44A152245
• Numbers m such that m mod k is k-1 for all k = 2..9.at n=21A166931
• a(1)=1. a(n) = the smallest integer > a(n-1) such that d(a(n))+d(a(n)+1) > d(a(n-1))+d(a(n-1)+1), where d(m) = the number of divisors of m.at n=45A175143
• Numbers k for which d(k-1) + d(k+1) is a record, where d(k) is the number of divisors of k.at n=41A189828
• a(n) is the smallest prime such that exactly n prime pairs (p,q) exist with a(n) = p * q + p + q.at n=12A198277