What is the 1245th prime number?
The 1245th prime number is 10141. The next prime is 10151 (a gap of 10) and the one before is 10139.
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 1245th one is 10141.
- 2
10141 is prime because no prime up to ā10141 ā 100.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1245th prime is close to 1245 Ć ln(1245) ā 8873, and here it is 10141.
- 4
10141 is a twin prime: 10139 and 10141 are both prime.
Primes around the 1245th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1242 | 10111 | 8 |
| 1243 | 10133 | 22 |
| 1244 | 10139 | 6 |
| 1245 | 10141 | 2 |
| 1246 | 10151 | 10 |
| 1247 | 10159 | 8 |
| 1248 | 10163 | 4 |
Questions
What is the 1245th prime number?
10141.
Which prime number is 10141?
10141 is the 1245th prime number.
What is the sum of the first 1245 primes?
5,897,674.