What is the 1242nd prime number?
The 1242nd prime number is 10111. The next prime is 10133 (a gap of 22) and the one before is 10103.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1242nd one is 10111.
- 2
10111 is prime because no prime up to ā10111 ā 100.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1242nd prime is close to 1242 Ć ln(1242) ā 8849, and here it is 10111.
- 4
10111 has no twin: neither 10109 nor 10113 is prime.
Primes around the 1242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1239 | 10093 | 2 |
| 1240 | 10099 | 6 |
| 1241 | 10103 | 4 |
| 1242 | 10111 | 8 |
| 1243 | 10133 | 22 |
| 1244 | 10139 | 6 |
| 1245 | 10141 | 2 |
Questions
What is the 1242nd prime number?
10111.
Which prime number is 10111?
10111 is the 1242nd prime number.
What is the sum of the first 1242 primes?
5,867,261.