81547

Properties

Appears in sequences

• Positions of 5-digit terms in the continued fraction for Pi (3 is position 0).at n=8A048961
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4,2,6]; short d-string notation of pattern = [426].at n=31A078850
• Primes p such that the differences between the 5 consecutive primes starting with p are (4,2,6,4).at n=6A078953
• Primes p(x) satisfying the following conditions: (a) A082882(x)=1; (b) {p(x),p(x+1)} are not twin primes; (c) values of A075860(j) for j composites between these two non-twin primes are identical.at n=20A082883
• Let p_(3,1)(m) be the m-th prime == 1(mod 3). Then a(n) is the smallest p_(3,1)(m) such that the interval(p_(3,1)(m)*n, p_(3,1)(m+1)*n) contains exactly one prime == 1(mod 3).at n=41A210465
• Prime(n), where n is such that (1+sum_{i=1..n} prime(i)) / n is an integer.at n=13A233523
• Prime numbers p such that the set of composite numbers in the range [p+1, nextprime(p)-1] has more than one element and all the elements have the same number of divisors.at n=14A332740
• a(n) is the first prime p such that the sum of 2*n consecutive primes starting at p is (q-1)*q where q is prime, or 0 if there is no such p.at n=25A338990
• a(n) is the least odd prime not in A001359 such that all subsequent composites in the gap up to the next prime have exactly n prime factors, counted with multiplicity.at n=2A359638
• Primes p such that p + 4, p + 12 and p + 16 are also primes.at n=31A384298
• Prime numbersat n=7975