Those Fascinating Numbers 359

112 111 322 112

• the

26th

insolite number (see the number 111).

113 112 122 112

• the

27th

insolite number (see the number 111).

121 111 216 128

• the

28th

insolite number (see the number 111); it is the smallest insolite number

containing the digit 8.

121 111 322 112

• the 29th insolite number (see the number 111).

121 121 114 112

• the

30th

insolite number (see the number 111).

125 411 328 001

• the third prime number of the form 1! · 2! · . . . · r! + 1, here with r = 7; the

only known prime numbers of this form are 1! · 2! + 1 = 3, 1! · 2! · 3! + 1 = 13,

1! · 2! · 3! · . . . · 7! + 1 and 1! · 2! · 3! · . . . · 14! + 1.

126 789 311 423

• the sixth number n (and the largest one known) such that

∑

p≤pn

p is a perfect

square: here

∑

p≤p126789311423

p =

4687267137342:

it was discovered by Giovanni

Resta in 2003 (see the number 2 474).

131 111 132 112

• the 31rst insolite number (see the number 111).

131 112 122 112

• the

32nd

insolite number (see the number 111).

135 780 321 665

• the number of twin prime pairs 1014 (see the number 1 224).