What is the 4960th prime number?
The 4960th prime number is 48179. The next prime is 48187 (a gap of 8) and the one before is 48163.
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 4960th one is 48179.
- 2
48179 is prime because no prime up to ā48179 ā 219.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4960th prime is close to 4960 Ć ln(4960) ā 42205, and here it is 48179.
- 4
48179 has no twin: neither 48177 nor 48181 is prime.
Primes around the 4960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4957 | 48131 | 10 |
| 4958 | 48157 | 26 |
| 4959 | 48163 | 6 |
| 4960 | 48179 | 16 |
| 4961 | 48187 | 8 |
| 4962 | 48193 | 6 |
| 4963 | 48197 | 4 |
Questions
What is the 4960th prime number?
48179.
Which prime number is 48179?
48179 is the 4960th prime number.
What is the sum of the first 4960 primes?
112,518,983.