What is the 4995th prime number?
The 4995th prime number is 48541. The next prime is 48563 (a gap of 22) and the one before is 48539.
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 4995th one is 48541.
- 2
48541 is prime because no prime up to ā48541 ā 220.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4995th prime is close to 4995 Ć ln(4995) ā 42538, and here it is 48541.
- 4
48541 is a twin prime: 48539 and 48541 are both prime.
Primes around the 4995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4992 | 48527 | 4 |
| 4993 | 48533 | 6 |
| 4994 | 48539 | 6 |
| 4995 | 48541 | 2 |
| 4996 | 48563 | 22 |
| 4997 | 48571 | 8 |
| 4998 | 48589 | 18 |
Questions
What is the 4995th prime number?
48541.
Which prime number is 48541?
48541 is the 4995th prime number.
What is the sum of the first 4995 primes?
114,212,332.