What is the 1247th prime number?
The 1247th prime number is 10159. The next prime is 10163 (a gap of 4) and the one before is 10151.
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 1247th one is 10159.
- 2
10159 is prime because no prime up to ā10159 ā 100.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1247th prime is close to 1247 Ć ln(1247) ā 8889, and here it is 10159.
- 4
10159 has no twin: neither 10157 nor 10161 is prime.
Primes around the 1247th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1244 | 10139 | 6 |
| 1245 | 10141 | 2 |
| 1246 | 10151 | 10 |
| 1247 | 10159 | 8 |
| 1248 | 10163 | 4 |
| 1249 | 10169 | 6 |
| 1250 | 10177 | 8 |
Questions
What is the 1247th prime number?
10159.
Which prime number is 10159?
10159 is the 1247th prime number.
What is the sum of the first 1247 primes?
5,917,984.