What is the 4247th prime number?
The 4247th prime number is 40507. The next prime is 40519 (a gap of 12) and the one before is 40499.
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 4247th one is 40507.
- 2
40507 is prime because no prime up to ā40507 ā 201.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4247th prime is close to 4247 Ć ln(4247) ā 35479, and here it is 40507.
- 4
40507 has no twin: neither 40505 nor 40509 is prime.
Primes around the 4247th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4244 | 40487 | 4 |
| 4245 | 40493 | 6 |
| 4246 | 40499 | 6 |
| 4247 | 40507 | 8 |
| 4248 | 40519 | 12 |
| 4249 | 40529 | 10 |
| 4250 | 40531 | 2 |
Questions
What is the 4247th prime number?
40507.
Which prime number is 40507?
40507 is the 4247th prime number.
What is the sum of the first 4247 primes?
80,941,756.