What is the 4851st prime number?
The 4851st prime number is 46997. The next prime is 47017 (a gap of 20) and the one before is 46993.
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 4851st one is 46997.
- 2
46997 is prime because no prime up to ā46997 ā 216.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4851st prime is close to 4851 Ć ln(4851) ā 41170, and here it is 46997.
- 4
46997 has no twin: neither 46995 nor 46999 is prime.
Primes around the 4851st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4848 | 46933 | 14 |
| 4849 | 46957 | 24 |
| 4850 | 46993 | 36 |
| 4851 | 46997 | 4 |
| 4852 | 47017 | 20 |
| 4853 | 47041 | 24 |
| 4854 | 47051 | 10 |
Questions
What is the 4851st prime number?
46997.
Which prime number is 46997?
46997 is the 4851st prime number.
What is the sum of the first 4851 primes?
107,331,718.