What is the 1244th prime number?
The 1244th prime number is 10139. The next prime is 10141 (a gap of 2) and the one before is 10133.
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 1244th one is 10139.
- 2
10139 is prime because no prime up to ā10139 ā 100.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1244th prime is close to 1244 Ć ln(1244) ā 8865, and here it is 10139.
- 4
10139 is a twin prime: 10139 and 10141 are both prime.
Primes around the 1244th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1241 | 10103 | 4 |
| 1242 | 10111 | 8 |
| 1243 | 10133 | 22 |
| 1244 | 10139 | 6 |
| 1245 | 10141 | 2 |
| 1246 | 10151 | 10 |
| 1247 | 10159 | 8 |
Questions
What is the 1244th prime number?
10139.
Which prime number is 10139?
10139 is the 1244th prime number.
What is the sum of the first 1244 primes?
5,887,533.