A table of the first occurrence of a string of
2
r
−
1
2r - 1
composite numbers between two primes is given for
r
=
158
(
1
)
267
,
269
,
270
,
273
,
275
,
276
,
281
,
282
,
291
,
294
r = 158(1)267,269,270,273,275,276,281,282,291,294
and 301. All such strings between primes less than
2.6
×
10
12
2.6 \times 10^{12}
have been accounted for. The computation supports some conjectures on the distribution of these strings.