What is the 4854th prime number?
The 4854th prime number is 47051. The next prime is 47057 (a gap of 6) and the one before is 47041.
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 4854th one is 47051.
- 2
47051 is prime because no prime up to ā47051 ā 216.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4854th prime is close to 4854 Ć ln(4854) ā 41199, and here it is 47051.
- 4
47051 has no twin: neither 47049 nor 47053 is prime.
Primes around the 4854th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4851 | 46997 | 4 |
| 4852 | 47017 | 20 |
| 4853 | 47041 | 24 |
| 4854 | 47051 | 10 |
| 4855 | 47057 | 6 |
| 4856 | 47059 | 2 |
| 4857 | 47087 | 28 |
Questions
What is the 4854th prime number?
47051.
Which prime number is 47051?
47051 is the 4854th prime number.
What is the sum of the first 4854 primes?
107,472,827.