What is the 220th prime number?
The 220th prime number is 1373. The next prime is 1381 (a gap of 8) and the one before is 1367.
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 220th one is 1373.
- 2
1373 is prime because no prime up to ā1373 ā 37.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 220th prime is close to 220 Ć ln(220) ā 1187, and here it is 1373.
- 4
1373 has no twin: neither 1371 nor 1375 is prime.
Primes around the 220th
| Position | Prime | Gap from the previous |
|---|---|---|
| 217 | 1327 | 6 |
| 218 | 1361 | 34 |
| 219 | 1367 | 6 |
| 220 | 1373 | 6 |
| 221 | 1381 | 8 |
| 222 | 1399 | 18 |
| 223 | 1409 | 10 |
Questions
What is the 220th prime number?
1373.
Which prime number is 1373?
1373 is the 220th prime number.
What is the sum of the first 220 primes?
137,487.