What is the 3221st prime number?
The 3221st prime number is 29683. The next prime is 29717 (a gap of 34) and the one before is 29671.
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 3221st one is 29683.
- 2
29683 is prime because no prime up to ā29683 ā 172.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3221st prime is close to 3221 Ć ln(3221) ā 26017, and here it is 29683.
- 4
29683 has no twin: neither 29681 nor 29685 is prime.
Primes around the 3221st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3218 | 29663 | 22 |
| 3219 | 29669 | 6 |
| 3220 | 29671 | 2 |
| 3221 | 29683 | 12 |
| 3222 | 29717 | 34 |
| 3223 | 29723 | 6 |
| 3224 | 29741 | 18 |
Questions
What is the 3221st prime number?
29683.
Which prime number is 29683?
29683 is the 3221st prime number.
What is the sum of the first 3221 primes?
44,959,472.