What is the 4950th prime number?
The 4950th prime number is 48049. The next prime is 48073 (a gap of 24) and the one before is 48029.
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 4950th one is 48049.
- 2
48049 is prime because no prime up to ā48049 ā 219.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4950th prime is close to 4950 Ć ln(4950) ā 42110, and here it is 48049.
- 4
48049 has no twin: neither 48047 nor 48051 is prime.
Primes around the 4950th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4947 | 48017 | 36 |
| 4948 | 48023 | 6 |
| 4949 | 48029 | 6 |
| 4950 | 48049 | 20 |
| 4951 | 48073 | 24 |
| 4952 | 48079 | 6 |
| 4953 | 48091 | 12 |
Questions
What is the 4950th prime number?
48049.
Which prime number is 48049?
48049 is the 4950th prime number.
What is the sum of the first 4950 primes?
112,037,761.