A336297 Prime numbers p such that equation x = p*sopf(x) (where sopf(x) is the sum of distinct prime factors of x) has exactly 1 solution in positive integers.

2, 61, 97, 113, 151, 173, 241, 277, 317, 353, 389, 449, 457, 593, 601, 607, 653, 673, 683, 727, 733, 797, 907, 929, 941, 947, 953, 977, 997, 1021, 1051, 1087, 1153, 1181, 1193, 1217, 1249, 1307, 1321, 1361, 1373, 1409, 1433, 1489, 1493, 1523, 1553, 1579, 1597, 1609, 1627

Offset: 1

Author

Vladimir Letsko, Jul 16 2020

Keywords

• nonn

Examples

			4 is the unique integer x such that x = 2*sopf(x), a prime, so 2 is a term.
		

Links

• Vladimir Letsko, Mathematical Marathon, Problem 227 (in Russian).

Crossrefs

Cf. A008472, A336098, A336099, A336296.