A084195 Even numbers n such that the sum of the digits is prime, n/2 is prime and the sum of the digits of n/2 is also prime.

14, 58, 94, 122, 166, 274, 278, 302, 346, 382, 386, 454, 458, 526, 562, 566, 634, 674, 706, 746, 818, 922, 926, 1114, 1154, 1198, 1202, 1282, 1286, 1466, 1514, 1594, 1642, 1646, 1774, 1822, 1954, 2038, 2078, 2102, 2182, 2186, 2218, 2258, 2326, 2362

Offset: 1

Author

Patrick Capelle, Jun 20 2003

Keywords

• base
• nonn

Examples

			5+8=13 for n=58 and 2+9=11 for n/2=29=prime.
1+2+2=5 for n=122 and 6+1=7 for n/2=61=prime.
2+7+8=17 for n=278 and 1+3+9=13 for n/2=139=prime.
		

Crossrefs

Subsequence of A084194.

Programs

PARI

isok(n) = {if (n % 2, return (0)); dn = digits(n); dh = digits(n/2); isprime(n/2) && isprime(sum(i=1, #dn, dn[i])) && isprime(sum(i=1, #dh, dh[i]));} \\ Michel Marcus, Aug 12 2013

Extensions

More terms from Michel Marcus, Aug 12 2013