What is the 4577th prime number?
The 4577th prime number is 43987. The next prime is 43991 (a gap of 4) and the one before is 43973.
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 4577th one is 43987.
- 2
43987 is prime because no prime up to ā43987 ā 209.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4577th prime is close to 4577 Ć ln(4577) ā 38579, and here it is 43987.
- 4
43987 has no twin: neither 43985 nor 43989 is prime.
Primes around the 4577th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4574 | 43963 | 2 |
| 4575 | 43969 | 6 |
| 4576 | 43973 | 4 |
| 4577 | 43987 | 14 |
| 4578 | 43991 | 4 |
| 4579 | 43997 | 6 |
| 4580 | 44017 | 20 |
Questions
What is the 4577th prime number?
43987.
Which prime number is 43987?
43987 is the 4577th prime number.
What is the sum of the first 4577 primes?
94,873,376.