What is the 4631st prime number?
The 4631st prime number is 44543. The next prime is 44549 (a gap of 6) and the one before is 44537.
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 4631st one is 44543.
- 2
44543 is prime because no prime up to ā44543 ā 211.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4631st prime is close to 4631 Ć ln(4631) ā 39088, and here it is 44543.
- 4
44543 has no twin: neither 44541 nor 44545 is prime.
Primes around the 4631st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4628 | 44531 | 12 |
| 4629 | 44533 | 2 |
| 4630 | 44537 | 4 |
| 4631 | 44543 | 6 |
| 4632 | 44549 | 6 |
| 4633 | 44563 | 14 |
| 4634 | 44579 | 16 |
Questions
What is the 4631st prime number?
44543.
Which prime number is 44543?
44543 is the 4631st prime number.
What is the sum of the first 4631 primes?
97,263,226.