What is the 1237th prime number?
The 1237th prime number is 10079. The next prime is 10091 (a gap of 12) and the one before is 10069.
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 1237th one is 10079.
- 2
10079 is prime because no prime up to ā10079 ā 100.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1237th prime is close to 1237 Ć ln(1237) ā 8808, and here it is 10079.
- 4
10079 has no twin: neither 10077 nor 10081 is prime.
Primes around the 1237th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1234 | 10061 | 22 |
| 1235 | 10067 | 6 |
| 1236 | 10069 | 2 |
| 1237 | 10079 | 10 |
| 1238 | 10091 | 12 |
| 1239 | 10093 | 2 |
| 1240 | 10099 | 6 |
Questions
What is the 1237th prime number?
10079.
Which prime number is 10079?
10079 is the 1237th prime number.
What is the sum of the first 1237 primes?
5,816,764.