What is the 4621st prime number?
The 4621st prime number is 44453. The next prime is 44483 (a gap of 30) and the one before is 44449.
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 4621st one is 44453.
- 2
44453 is prime because no prime up to ā44453 ā 210.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4621st prime is close to 4621 Ć ln(4621) ā 38994, and here it is 44453.
- 4
44453 has no twin: neither 44451 nor 44455 is prime.
Primes around the 4621st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4618 | 44389 | 6 |
| 4619 | 44417 | 28 |
| 4620 | 44449 | 32 |
| 4621 | 44453 | 4 |
| 4622 | 44483 | 30 |
| 4623 | 44491 | 8 |
| 4624 | 44497 | 6 |
Questions
What is the 4621st prime number?
44453.
Which prime number is 44453?
44453 is the 4621st prime number.
What is the sum of the first 4621 primes?
96,818,084.