What is the 1240th prime number?
The 1240th prime number is 10099. The next prime is 10103 (a gap of 4) and the one before is 10093.
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 1240th one is 10099.
- 2
10099 is prime because no prime up to ā10099 ā 100.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1240th prime is close to 1240 Ć ln(1240) ā 8832, and here it is 10099.
- 4
10099 has no twin: neither 10097 nor 10101 is prime.
Primes around the 1240th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1237 | 10079 | 10 |
| 1238 | 10091 | 12 |
| 1239 | 10093 | 2 |
| 1240 | 10099 | 6 |
| 1241 | 10103 | 4 |
| 1242 | 10111 | 8 |
| 1243 | 10133 | 22 |
Questions
What is the 1240th prime number?
10099.
Which prime number is 10099?
10099 is the 1240th prime number.
What is the sum of the first 1240 primes?
5,847,047.