What is the 1221st prime number?
The 1221st prime number is 9901. The next prime is 9907 (a gap of 6) and the one before is 9887.
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 1221st one is 9901.
- 2
9901 is prime because no prime up to ā9901 ā 99.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1221st prime is close to 1221 Ć ln(1221) ā 8678, and here it is 9901.
- 4
9901 has no twin: neither 9899 nor 9903 is prime.
Primes around the 1221st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1218 | 9871 | 12 |
| 1219 | 9883 | 12 |
| 1220 | 9887 | 4 |
| 1221 | 9901 | 14 |
| 1222 | 9907 | 6 |
| 1223 | 9923 | 16 |
| 1224 | 9929 | 6 |
Questions
What is the 1221st prime number?
9901.
Which prime number is 9901?
9901 is the 1221st prime number.
What is the sum of the first 1221 primes?
5,656,876.