What is the 4958th prime number?
The 4958th prime number is 48157. The next prime is 48163 (a gap of 6) and the one before is 48131.
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 4958th one is 48157.
- 2
48157 is prime because no prime up to ā48157 ā 219.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4958th prime is close to 4958 Ć ln(4958) ā 42186, and here it is 48157.
- 4
48157 has no twin: neither 48155 nor 48159 is prime.
Primes around the 4958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4955 | 48119 | 10 |
| 4956 | 48121 | 2 |
| 4957 | 48131 | 10 |
| 4958 | 48157 | 26 |
| 4959 | 48163 | 6 |
| 4960 | 48179 | 16 |
| 4961 | 48187 | 8 |
Questions
What is the 4958th prime number?
48157.
Which prime number is 48157?
48157 is the 4958th prime number.
What is the sum of the first 4958 primes?
112,422,641.