What is the 4951st prime number?
The 4951st prime number is 48073. The next prime is 48079 (a gap of 6) and the one before is 48049.
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 4951st one is 48073.
- 2
48073 is prime because no prime up to ā48073 ā 219.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4951st prime is close to 4951 Ć ln(4951) ā 42120, and here it is 48073.
- 4
48073 has no twin: neither 48071 nor 48075 is prime.
Primes around the 4951st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4948 | 48023 | 6 |
| 4949 | 48029 | 6 |
| 4950 | 48049 | 20 |
| 4951 | 48073 | 24 |
| 4952 | 48079 | 6 |
| 4953 | 48091 | 12 |
| 4954 | 48109 | 18 |
Questions
What is the 4951st prime number?
48073.
Which prime number is 48073?
48073 is the 4951st prime number.
What is the sum of the first 4951 primes?
112,085,834.