What is the 2960th prime number?
The 2960th prime number is 26987. The next prime is 26993 (a gap of 6) and the one before is 26981.
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 2960th one is 26987.
- 2
26987 is prime because no prime up to ā26987 ā 164.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2960th prime is close to 2960 Ć ln(2960) ā 23659, and here it is 26987.
- 4
26987 has no twin: neither 26985 nor 26989 is prime.
Primes around the 2960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2957 | 26953 | 2 |
| 2958 | 26959 | 6 |
| 2959 | 26981 | 22 |
| 2960 | 26987 | 6 |
| 2961 | 26993 | 6 |
| 2962 | 27011 | 18 |
| 2963 | 27017 | 6 |
Questions
What is the 2960th prime number?
26987.
Which prime number is 26987?
26987 is the 2960th prime number.
What is the sum of the first 2960 primes?
37,556,567.