What is the 1218th prime number?
The 1218th prime number is 9871. The next prime is 9883 (a gap of 12) and the one before is 9859.
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 1218th one is 9871.
- 2
9871 is prime because no prime up to ā9871 ā 99.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1218th prime is close to 1218 Ć ln(1218) ā 8654, and here it is 9871.
- 4
9871 has no twin: neither 9869 nor 9873 is prime.
Primes around the 1218th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1215 | 9851 | 12 |
| 1216 | 9857 | 6 |
| 1217 | 9859 | 2 |
| 1218 | 9871 | 12 |
| 1219 | 9883 | 12 |
| 1220 | 9887 | 4 |
| 1221 | 9901 | 14 |
Questions
What is the 1218th prime number?
9871.
Which prime number is 9871?
9871 is the 1218th prime number.
What is the sum of the first 1218 primes?
5,627,205.