23003

Properties

Appears in sequences

• Euclid-Mullin sequence: a(1) = 2, a(n+1) is smallest prime factor of 1 + Product_{k=1..n} a(k).at n=15A000945
• Denominators of continued fraction convergents to sqrt(238).at n=8A041445
• Denominators of continued fraction convergents to sqrt(952).at n=8A042843
• Euclid-Mullin sequence (A000945) with initial value a(1)=43 instead of a(1)=2.at n=15A051318
• Primes such that the sum of the factorials of the digits is a perfect square.at n=39A052279
• Third term of strong prime sextets: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=5A054815
• a(n) = Sum_{i=1..n} Sum_{j=1..i} (prime(i) - prime(j)).at n=31A062020
• Difference between the arithmetic mean of the neighbors of the terms and the term itself follows the pattern 0,1,2,3,4,5,...at n=42A086514
• Numerator of partial sums of A005329/A006125.at n=4A114604
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 6: primes in A146331.at n=25A146351
• Primes of the form 9n^2-8n+2.at n=9A154253
• Primes of the form (p^2 - 1)/8 - p, where p is also a prime.at n=19A165567
• Number of (w,x,y,z) with all terms in {1,...,n} and w*x+y*z>=n^2.at n=22A212132
• Numbers n such that Q(sqrt(n)) has class number 9.at n=36A218041
• Numbers n such that (15^n - 2^n)/13 is prime.at n=9A225955
• Primes p such that p + prime(p) is a square.at n=10A242625
• Primes having only {0, 2, 3} as digits.at n=17A260125
• a(1) = 2; a(n + 1) = smallest prime > a(n) such that a(n + 1) - a(n) is the product of 8 primes.at n=21A285693
• Primes equal to a pentagonal number plus 1.at n=25A285789
• Primes that can be generated by the concatenation in base 6, in ascending order, of two consecutive integers read in base 10.at n=13A287306