What is the 1219th prime number?
The 1219th prime number is 9883. The next prime is 9887 (a gap of 4) and the one before is 9871.
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 1219th one is 9883.
- 2
9883 is prime because no prime up to ā9883 ā 99.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1219th prime is close to 1219 Ć ln(1219) ā 8662, and here it is 9883.
- 4
9883 has no twin: neither 9881 nor 9885 is prime.
Primes around the 1219th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1216 | 9857 | 6 |
| 1217 | 9859 | 2 |
| 1218 | 9871 | 12 |
| 1219 | 9883 | 12 |
| 1220 | 9887 | 4 |
| 1221 | 9901 | 14 |
| 1222 | 9907 | 6 |
Questions
What is the 1219th prime number?
9883.
Which prime number is 9883?
9883 is the 1219th prime number.
What is the sum of the first 1219 primes?
5,637,088.