What is the 4245th prime number?
The 4245th prime number is 40493. The next prime is 40499 (a gap of 6) and the one before is 40487.
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 4245th one is 40493.
- 2
40493 is prime because no prime up to ā40493 ā 201.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4245th prime is close to 4245 Ć ln(4245) ā 35461, and here it is 40493.
- 4
40493 has no twin: neither 40491 nor 40495 is prime.
Primes around the 4245th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4242 | 40471 | 12 |
| 4243 | 40483 | 12 |
| 4244 | 40487 | 4 |
| 4245 | 40493 | 6 |
| 4246 | 40499 | 6 |
| 4247 | 40507 | 8 |
| 4248 | 40519 | 12 |
Questions
What is the 4245th prime number?
40493.
Which prime number is 40493?
40493 is the 4245th prime number.
What is the sum of the first 4245 primes?
80,860,750.