What is the 1215th prime number?
The 1215th prime number is 9851. The next prime is 9857 (a gap of 6) and the one before is 9839.
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 1215th one is 9851.
- 2
9851 is prime because no prime up to ā9851 ā 99.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1215th prime is close to 1215 Ć ln(1215) ā 8630, and here it is 9851.
- 4
9851 has no twin: neither 9849 nor 9853 is prime.
Primes around the 1215th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1212 | 9829 | 12 |
| 1213 | 9833 | 4 |
| 1214 | 9839 | 6 |
| 1215 | 9851 | 12 |
| 1216 | 9857 | 6 |
| 1217 | 9859 | 2 |
| 1218 | 9871 | 12 |
Questions
What is the 1215th prime number?
9851.
Which prime number is 9851?
9851 is the 1215th prime number.
What is the sum of the first 1215 primes?
5,597,618.