A034962 and A050207 can't both be correct

[Jonathan Post]

Which of these, if either, is right, and which is wrong?

A034962 Primes which are the sum of three consecutive primes.
	23, 31, 41, 59, 71, 83, 97, 109, 131, 173, 199, 211, 223, 251, 269,
311, 349, 439, 457, 487, 503, 607, 661, 701, 829, 857, 883, 911, 941,
1033, 1049, 1061, 1151, 1187, 1229, 1249, 1303, 1367, 1381, 1409,
1433, 1493, 1511, 1553, 1667, 1867, 1931, 1973, 1993

A050207 Primes that are the sum of three consecutive primes.  	
	23, 29, 41, 47, 59, 97, 131, 137, 223, 283, 311, 317, 367, 389, 457,
563, 587, 607, 677, 743, 839, 857, 907, 929, 941, 947, 1031, 1049,
1093, 1283, 1303, 1453, 1489, 1847, 1867, 1913, 1931, 1993, 2027,
2347, 2381, 2441, 2477, 2579, 2617, 2657, 2729, 2749