33613

Properties

Appears in sequences

• Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=32A052166
• Numbers n such that Catalan(n)+1 is prime.at n=40A053429
• Numbers k such that k^6 == 1 (mod 7^5).at n=11A056103
• Numbers k such that sigma(phi(sigma(k))) = phi(k).at n=13A066465
• Primes of the form 2^r*7^s - 1.at n=14A077314
• Primes p such that the differences between the 5 consecutive primes starting with p are (4,2,4,6).at n=12A078952
• a(1) = 2 then primes in nondecreasing order such that every concatenation is prime.at n=42A089702
• Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).at n=24A094230
• Prime(144*n).at n=24A102350
• Primes p such that the decimal expansion of p remains prime under two iterations of base-10 to base-2 conversions.at n=12A123266
• Primes of the form 14 n^2-1.at n=13A143832
• Middle of 3 consecutive prime numbers, p1, p2, p3, such that p1*p2*p3*d1*d2 = average of twin prime pairs; d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=23A153410
• Primes of the form 2*7^k - 1.at n=3A158795
• Primes of the form 2*p^k-1, where p is prime and k > 1.at n=22A178491
• Numbers of the form i*7^j-1 (i=1..6, j >= 0).at n=31A181303
• Number of two-sided n-step prudent walks ending on the top side of their box, avoiding two or more consecutive west steps and south steps.at n=12A190586
• a(n) = 2*7^n - 1.at n=5A198480
• Primes of the form 5n^2 - 7.at n=16A201788
• Total number of parts of multiplicity 4 in all partitions of n.at n=43A222704
• Primes p(n) such that p(n) + p(n+3) = p(n+1) + p(n+2) and p(n) + p(n+4) = p(n+2) + p(n+3).at n=29A266882