What is the 4952nd prime number?
The 4952nd prime number is 48079. The next prime is 48091 (a gap of 12) and the one before is 48073.
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 4952nd one is 48079.
- 2
48079 is prime because no prime up to ā48079 ā 219.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4952nd prime is close to 4952 Ć ln(4952) ā 42129, and here it is 48079.
- 4
48079 has no twin: neither 48077 nor 48081 is prime.
Primes around the 4952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4949 | 48029 | 6 |
| 4950 | 48049 | 20 |
| 4951 | 48073 | 24 |
| 4952 | 48079 | 6 |
| 4953 | 48091 | 12 |
| 4954 | 48109 | 18 |
| 4955 | 48119 | 10 |
Questions
What is the 4952nd prime number?
48079.
Which prime number is 48079?
48079 is the 4952nd prime number.
What is the sum of the first 4952 primes?
112,133,913.