What is the 1216th prime number?
The 1216th prime number is 9857. The next prime is 9859 (a gap of 2) and the one before is 9851.
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 1216th one is 9857.
- 2
9857 is prime because no prime up to ā9857 ā 99.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1216th prime is close to 1216 Ć ln(1216) ā 8638, and here it is 9857.
- 4
9857 is a twin prime: 9857 and 9859 are both prime.
Primes around the 1216th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1213 | 9833 | 4 |
| 1214 | 9839 | 6 |
| 1215 | 9851 | 12 |
| 1216 | 9857 | 6 |
| 1217 | 9859 | 2 |
| 1218 | 9871 | 12 |
| 1219 | 9883 | 12 |
Questions
What is the 1216th prime number?
9857.
Which prime number is 9857?
9857 is the 1216th prime number.
What is the sum of the first 1216 primes?
5,607,475.