What is the 245th prime number?
The 245th prime number is 1553. The next prime is 1559 (a gap of 6) and the one before is 1549.
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 245th one is 1553.
- 2
1553 is prime because no prime up to ā1553 ā 39.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 245th prime is close to 245 Ć ln(245) ā 1348, and here it is 1553.
- 4
1553 has no twin: neither 1551 nor 1555 is prime.
Primes around the 245th
| Position | Prime | Gap from the previous |
|---|---|---|
| 242 | 1531 | 8 |
| 243 | 1543 | 12 |
| 244 | 1549 | 6 |
| 245 | 1553 | 4 |
| 246 | 1559 | 6 |
| 247 | 1567 | 8 |
| 248 | 1571 | 4 |
Questions
What is the 245th prime number?
1553.
Which prime number is 1553?
1553 is the 245th prime number.
What is the sum of the first 245 primes?
174,250.