A228433 Smallest starting abundant number for n consecutive abundant numbers in arithmetic progression.

24, 114, 114, 228, 1242, 221355126

Offset: 3

Author

Shyam Sunder Gupta, Nov 10 2013

Keywords

• nonn
• hard
• more

Comments

The next term is a(9) > 10^9. The common difference for first 7 terms is 6 and for 8th term is 2.

Examples

			First and smallest occurrence of n, n >= 3, consecutive abundant numbers in arithmetic progression:
a(3) = 24: (24, 30, 36);
a(4) = 114: (114, 120, 126, 132);
a(5) = 114: (114, 120, 126, 132, 138);
a(6) = 228: (228, 234, 240, 246, 252, 258);
a(7) = 1242: (1242, 1248, 1254, 1260, 1266, 1272, 1278);
a(8) = 221355126: (221355126, 221355128, 221355130, 221355132, 221355134, 221355136, 221355138, 221355140);
		

Crossrefs

Cf. A005101.