27953

Properties

Appears in sequences

• Largest prime factor of 1 + (product of first n primes).at n=7A002585
• Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=26A022464
• Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=26A050268
• Euclid-Mullin sequence (A000945) with initial value a(1)=11 instead of a(1)=2.at n=29A051309
• Let s(k) denote the k-th term of an integer sequence such that s(0)=0 and s(i) for all i>0 is the least natural number such that no four elements of {s(0),..,s(i)} are in arithmetic progression. Then it appears that there are many set of 3 consecutive integers in s(k). Sequence gives the smallest element in those triples.at n=32A071711
• Smallest prime for which 2^n exactly divides the class number h(8p) and X^2 - 2pY^2 = -2 is solvable.at n=5A102267
• a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=40A117081
• Primes p such that 2*p^3 -+ 3 are also prime.at n=25A174363
• Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=5, k=1 and l=-1.at n=7A176832
• Sum of parts that are visible in one of the three views of the shell model of partitions version "tree" with n shells.at n=27A194804
• Primes p=u^2+v^2 such that p+u or p+v is the next prime after p.at n=27A213996
• Smallest of four consecutive primes whose average is a triangular number.at n=23A226155
• Greatest of 4 consecutive primes with consecutive gaps 2, 4, 6.at n=32A290706
• Numbers that divide exactly two Euclid numbers.at n=21A297891
• Primes p such that (p^128 + 1)/2 is prime.at n=19A341230
• Prime numbersat n=3051