What is the 222nd prime number?
The 222nd prime number is 1399. The next prime is 1409 (a gap of 10) and the one before is 1381.
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 222nd one is 1399.
- 2
1399 is prime because no prime up to ā1399 ā 37.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 222nd prime is close to 222 Ć ln(222) ā 1199, and here it is 1399.
- 4
1399 has no twin: neither 1397 nor 1401 is prime.
Primes around the 222nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 219 | 1367 | 6 |
| 220 | 1373 | 6 |
| 221 | 1381 | 8 |
| 222 | 1399 | 18 |
| 223 | 1409 | 10 |
| 224 | 1423 | 14 |
| 225 | 1427 | 4 |
Questions
What is the 222nd prime number?
1399.
Which prime number is 1399?
1399 is the 222nd prime number.
What is the sum of the first 222 primes?
140,267.