436273009

Properties

Appears in sequences

• Primes (lower end) with record gaps to the next consecutive prime: primes p(k) where p(k+1) - p(k) exceeds p(j+1) - p(j) for all j < k.at n=29A002386
• Increasing gaps between prime-powers.at n=34A002540
• Largest n-digit prime at the start of a record in the RECORDS transform of the prime gaps.at n=8A053302
• Smaller of pair of successive n-digit primes with maximal difference.at n=8A073861
• Smallest prime p such that q = (r-p)/log(p) > n, where r is the next prime after p.at n=13A082891
• Prime p with prime gap q - p of n-th record merit, where q is smallest prime larger than p and the merit of a prime gap is (q-p)/log(p).at n=16A111870
• Primes prime(k) corresponding to the records in the sequence (prime(k+1)/prime(k))^k.at n=17A205827
• First prime in A122072 that appears at least n times.at n=25A206473
• First prime in A122072 that appears at least n times.at n=26A206473
• First prime in A122072 that appears at least n times.at n=27A206473
• First prime in A122072 that appears at least n times.at n=28A206473
• Smallest prime followed by at least 2^n nonprimes.at n=8A268140
• a(n) is the smaller of 2 consecutive primes bounding an interval containing a record number A350097(n) of odd squarefree semiprimes (A046388).at n=25A350095
• Prime numbersat n=23163298