40361

Properties

Appears in sequences

• a(n) is the numerator of Sum_{i = 1..n} 1/prime(i).at n=6A024451
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 21.at n=13A031609
• Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 3.at n=35A050665
• Numerator of Sum_{ primes p <= n} 1/p.at n=12A106830
• Numerator of Sum_{ primes p <= n} 1/p.at n=13A106830
• Numerator of Sum_{ primes p <= n} 1/p.at n=14A106830
• Numerator of Sum_{ primes p <= n} 1/p.at n=15A106830
• a(1)=433640083; a(n+1)= the largest prime factor of a(n)+b(n)+c(n), where a(n)<b(n)<c(n) and a(n),b(n) and c(n) are three consecutive primes.at n=17A117631
• Primes p such that q-p = 26, where q is the next prime after p.at n=27A124594
• a(n) = 42*n^2 - 1.at n=30A158626
• Primes of the form 3*m^2 - 7.at n=19A201718
• Primes in the sequence of first arithmetic derivative of primorials.at n=3A244622
• Primes equal to the sum of both two and three successive semiprimes.at n=30A255897
• Triangle read by rows: T(n, k) = coefficient of x^(n-k) in Product_{m=1..n} (x+prime(m)); 0 <= k <= n, n >= 0.at n=26A260613
• Primes that can be generated by the concatenation in base 6, in descending order, of two consecutive integers read in base 10.at n=23A287307
• a(n) = n*A340339(n)+b, where b = 1 if n is even or 2 if n is odd.at n=39A340340
• a(n) = A003415(A019565(n)).at n=63A342921
• Primes p such that neither g-1 nor g+1 is prime, where g is the gap from p to the next prime.at n=41A355485
• a(n) is the least prime that is the n-th elementary symmetric function of the first k primes for some k.at n=4A357176
• a(n) = A003415(A276085(n)), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.at n=16A373842