The following shows the quad prime chain starting from the prime quadruplets $11, 13, 17,$ and $19:$

$a, a+2, a+6,$ and $a+8$ are prime quadruplets; $c, c+2, c+6,$ and $c+8$ are also prime quadruplets, where $c=a^6-a^4+a^2+100b.$

WinPFGW and Primo were used to certify primality.

a least
b
c digits
of a
digits
of b
digits
of c
date
computed
b/a digit
ratio
11 628 1819841 2 3 7 23 Mar 2014 1.500000
1819841 9103 36
324585837547
406329165261
439460349661
7 4 38 24 Mar 2014 0.571429

The following shows the quad prime chain starting from the prime quadruplets 101, 103, 107 and 109:

a, a+2, a+6 and a+8 are prime quadruplets; c, c+2, c+6 and c+8 are also prime quadruplets, where c=a^6+100b.

WinPFGW and Primo were used to certify primality.

a least
b
c digits
of a
digits
of b
digits
of c
date
computed
b/a digit
ratio
101 7411 1
061520891701
3 4 13 22 Mar 2014 1.333333
1
061520891701
>6299998 ? 13 >6 ? 31 Mar 2014 ?.??????

The following shows the quad prime chain starting from the prime quadruplets 11, 13, 17 and 19:

a, a+2, a+6 and a+8 are prime quadruplets; c, c+2, c+6 and c+8 are also prime quadruplets, where c=a^6+100b.

WinPFGW and Primo were used to certify primality.

a least
b
c digits
of a
digits
of b
digits
of c
date
computed
b/a digit
ratio
11 1387 1910261 2 4 7 19 Mar 2014 2.000000
1910261 2754610 48
591046795725
949286385443
710745456561
7 7 38 21 Mar 2014 1.000000

The following shows the quad prime chain starting from the prime quadruplets 187631, 187633, 187637 and 187639:

a, a+2, a+6 and a+8 are prime quadruplets; c, c+2, c+6 and c+8 are also prime quadruplets, where c=a^2+100b.

WinPFGW and Primo were used to certify primality.

a least
b
c digits
of a
digits
of b
digits
of c
date
computed
b/a digit
ratio
187631 32389 35208631061 6 5 11 18 May 2012 0.833333

The following shows the quad prime chain starting from the prime quadruplets 171161, 171163, 171167 and 171169:

a, a+2, a+6 and a+8 are prime quadruplets; c, c+2, c+6 and c+8 are also prime quadruplets, where c=a^2+100b.

WinPFGW and Primo were used to certify primality.

a least
b
c digits
of a
digits
of b
digits
of c
date
computed
b/a digit
ratio
171161 28039 29298891821 6 5 11 18 May 2012 0.833333

The following shows the quad prime chain starting from the prime quadruplets 166841, 166843, 166847 and 166849:

a, a+2, a+6 and a+8 are prime quadruplets; c, c+2, c+6 and c+8 are also prime quadruplets, where c=a^2+100b.

WinPFGW and Primo were used to certify primality.

a least
b
c digits
of a
digits
of b
digits
of c
date
computed
b/a digit
ratio
166841 21508 27838070081 6 5 11 18 May 2012 0.833333

The following shows the quad prime chain starting from the prime quadruplets 165701, 165703, 165707 and 165709:

a, a+2, a+6 and a+8 are prime quadruplets; c, c+2, c+6 and c+8 are also prime quadruplets, where c=a^2+100b.

WinPFGW and Primo were used to certify primality.

a least
b
c digits
of a
digits
of b
digits
of c
date
computed
b/a digit
ratio
165701 21679 27458989301 6 5 11 18 May 2012 0.833333