Another new PRP:
13952^17559+17559^13952, 72776 digits.

Another new PRP:
11699^17560+17560^11699, 71437 digits.

Another new PRP:
16696^16957+16957^16696, 71603 digits.

Another new PRP:
15813^16916+16916^15813, 71031 digits.

Another new PRP:
14742^16915+16915^14742, 70512 digits.

Another new PRP:
15770^17589+17589^15770, 73836 digits.

[QUOTE=pxp;524687]That makes L(40182,47) #1348 and advances the index to L(31870,131), #1354.[/QUOTE]

I have examined all Leyland numbers in the four gaps between L(31870,131) <67478>, #1354, and L(34684,105) <70103> and found 37 new primes. That makes L(34684,105) #1395.

[QUOTE=pxp;527845]That makes L(34684,105) #1395.[/QUOTE]

I have examined all Leyland numbers in the four gaps between L(34684,105) <70103>, #1395, and L(29356,257) <70746> and found 4 new primes. That makes L(29356,257) #1403.

Another new PRP:
1239^26228+26228^1239, 81126 digits.

Another new PRP:
12352^18043+18043^12352, 73828 digits.

Another new PRP:
15010^17699+17699^15010, 73918 digits.