10098...00987 (366-digits)

This number is a probable-prime (likely to be a prime but we have not (re-)proven it on this site).

                                                           100987 1009871009
8710098710 0987100987 1009991009 9910099910 0999100999 1009991010 0910100910
1009101009 1010091010 0910102110 1021101021 1010211010 2110102110 1027101027
1010271010 2710102710 1027101051 1010271010 2710102710 1027101027 1010271010
2110102110 1021101021 1010211010 2110100910 1009101009 1010091010 0910100910
0999100999 1009991009 9910099910 0999100987 1009871009 8710098710 0987100987

The smallest prime greater than a googol formed from the concatenation of n consecutive n-digit primes in the pattern {a, a, a, a, a, a, b, b, b, b, b, b, c, c, c, c, c, c, d, d, d, d, d, d, e, e, e, e, e, e, f, e, e, e, e, e, e, d, d, d, d, d, d, c, c, c, c, c, c, b, b, b, b, b, b, a, a, a, a, a, a}, i.e., {100987, 100987, 100987, 100987, 100987, 100987, 100999, 100999, 100999, 100999, 100999, 100999, 101009, 101009, 101009, 101009, 101009, 101009, 101021, 101021, 101021, 101021, 101021, 101021, 101027, 101027, 101027, 101027, 101027, 101027, 101051, 101027, 101027, 101027, 101027, 101027, 101027, 101021, 101021, 101021, 101021, 101021, 101021, 101009, 101009, 101009, 101009, 101009, 101009, 100999, 100999, 100999, 100999, 100999, 100999, 100987, 100987, 100987, 100987, 100987, 100987}, (case n=6). [Bajpai]