What is the 5961st prime number?
The 5961st prime number is 58979. The next prime is 58991 (a gap of 12) and the one before is 58967.
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 5961st one is 58979.
- 2
58979 is prime because no prime up to ā58979 ā 242.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5961st prime is close to 5961 Ć ln(5961) ā 51819, and here it is 58979.
- 4
58979 has no twin: neither 58977 nor 58981 is prime.
Primes around the 5961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5958 | 58943 | 6 |
| 5959 | 58963 | 20 |
| 5960 | 58967 | 4 |
| 5961 | 58979 | 12 |
| 5962 | 58991 | 12 |
| 5963 | 58997 | 6 |
| 5964 | 59009 | 12 |
Questions
What is the 5961st prime number?
58979.
Which prime number is 58979?
58979 is the 5961st prime number.
What is the sum of the first 5961 primes?
166,141,564.