173359

Properties

Appears in sequences

• a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists.at n=35A000230
• Primes p such that (r-p)/log(p) > 5, where r is the next prime after p.at n=23A082890
• Middle q of three consecutive primes p,q,r, such that one adjacent prime is near, the other is far and the ratio of the differences (whichever of (r-q)/(q-p) or (q-p)/(r-q) is greater than 1) sets a record.at n=16A084105
• Increasing peaks in the prime gap sequence A000230.at n=7A086977
• Records in A000230.at n=18A133429
• Primes which have a partition as the sum of squares of seven consecutive primes.at n=13A133560
• Numbers which are the sum of the squares of seven consecutive primes.at n=33A133562
• First occurrence of prime gap 10*n.at n=6A140791
• a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist).at n=34A168253
• Primes with eleven embedded primes.at n=25A179919
• Primes p followed by a gap of 70 = nextprime(p) - p.at n=0A204792
• Smallest prime producing a gap with the next prime, the size of the gap being a composite number with 2n+1 as a factor.at n=10A217724
• Primes which are the concatenation of two primes in exactly three ways.at n=22A238499
• a(n) is the least prime p such that the second forward difference of three consecutive primes p, q and r is n = -(p - 2q + r)/2.at n=34A316792
• Primes preceding the first-occurrence gaps in A014320.at n=37A335366
• a(n) is the least prime p such that q-p = n*(r-q) where p,q,r are consecutive primes.at n=34A358974
• Least prime p such that 2n can be written as the sum or absolute difference of p and the next prime, or -1 if no such prime exists.at n=35A363544
• a(0) = 2; for n > 0, a(n) is the smallest prime that differs from the next prime by 2n and is not part of a run of 3 or more consecutive primes in arithmetic progression, or -1 if no such prime exists.at n=35A368640
• Smaller of two consecutive primes p and q, both ending with 9, such that q - p = 10*n, or -1 if no such primes exist.at n=6A381511
• Primes such that moving the last digit to the front produces a triangular number.at n=25A384954