100549

Properties

Appears in sequences

• Primes p such that all digits of p^2 appear in p.at n=6A030083
• Numbers k such that k^2 contains only digits {0,1,4}, not ending with zero.at n=15A058413
• Numbers k such that the sum of the digits of k^2 is 10. Multiples of 10 are omitted.at n=20A135027
• Numbers k such that k and k^2 use only the digits 0, 1, 4, 5 and 9.at n=16A136858
• Numbers n with property that average digit of n^2 is less than 1.at n=9A164842
• Primes p where the digital sum of p^2 is equal to 10.at n=7A226802
• a(n) = Sum_{k=0..n} q(k)^2, where q(k) = partition numbers into distinct parts (A000009).at n=26A265093
• G.f.: 1 + Sum_{n>=1} a(n)*x^n/(1 - x^n) = 1/(1 - x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - ...))))).at n=22A285903
• Primes that can be generated by the concatenation in base 8, in ascending order, of two consecutive integers read in base 10.at n=34A287310
• Primes p such that the digits of p^2 are squares.at n=14A308917
• Prime numbersat n=9640