A108770 Numbers n such that n^2 + (n+1)^2 is a brilliant number.

3, 10, 15, 20, 27, 37, 59, 92, 105, 120, 152, 155, 175, 190, 215, 219, 242, 245, 254, 255, 277, 300, 302, 307, 325, 337, 362, 365, 370, 402, 415, 614, 930, 944, 987, 1049, 1059, 1112, 1192, 1204, 1210, 1220, 1265, 1312, 1344, 1360, 1374, 1449, 1460, 1504, 1527

Offset: 1

Author

Jason Earls, Jun 25 2005

Keywords

• base
• easy
• nonn

Comments

Consecutive terms are (254,255) (4099,4100) (11159,11160) (25094,25095) (31754,31755) (40189,40190) ... Conjecture: There are infinitely many consecutive values.

Examples

			92 is a term because 92^2 + 93^2 = 17113 = 109*157 and both of its
factors have three digits.
		

Crossrefs

Cf. A078972, A027861.