53609

Properties

Appears in sequences

• 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=[2, 6,6]; short d-string notation of pattern = [266].at n=15A078849
• Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,6,6).at n=5A078951
• Primes p such that 8p +1 and (p-1)/8 are primes.at n=19A085958
• Positive integers of the form (18*m^2+1)/11.at n=32A113338
• a(n)= least initial term of n consecutive primes {p(m),..,p(m+n-1)} such that all numbers {1+p(m),..,1+p(m+n-1)} are a product of the same number k primes, where p(m) is m-th prime A000040(m).at n=5A254787
• Primes p such that p+2 is prime with prime(p+2)-prime(p)=6.at n=26A261533
• Number of integer partitions of n with unimodal run-lengths.at n=45A332280
• Primes that are sums of a sequence of consecutive terms of A006094.at n=23A340537
• Truncate Stirling's asymptotic series for 2! after n terms and round to the nearest integer.at n=46A362114
• Prime numbersat n=5462