What is the 4961st prime number?
The 4961st prime number is 48187. The next prime is 48193 (a gap of 6) and the one before is 48179.
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 4961st one is 48187.
- 2
48187 is prime because no prime up to ā48187 ā 219.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4961st prime is close to 4961 Ć ln(4961) ā 42215, and here it is 48187.
- 4
48187 has no twin: neither 48185 nor 48189 is prime.
Primes around the 4961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4958 | 48157 | 26 |
| 4959 | 48163 | 6 |
| 4960 | 48179 | 16 |
| 4961 | 48187 | 8 |
| 4962 | 48193 | 6 |
| 4963 | 48197 | 4 |
| 4964 | 48221 | 24 |
Questions
What is the 4961st prime number?
48187.
Which prime number is 48187?
48187 is the 4961st prime number.
What is the sum of the first 4961 primes?
112,567,170.