What is the 2959th prime number?
The 2959th prime number is 26981. The next prime is 26987 (a gap of 6) and the one before is 26959.
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 2959th one is 26981.
- 2
26981 is prime because no prime up to ā26981 ā 164.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2959th prime is close to 2959 Ć ln(2959) ā 23650, and here it is 26981.
- 4
26981 has no twin: neither 26979 nor 26983 is prime.
Primes around the 2959th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2956 | 26951 | 4 |
| 2957 | 26953 | 2 |
| 2958 | 26959 | 6 |
| 2959 | 26981 | 22 |
| 2960 | 26987 | 6 |
| 2961 | 26993 | 6 |
| 2962 | 27011 | 18 |
Questions
What is the 2959th prime number?
26981.
Which prime number is 26981?
26981 is the 2959th prime number.
What is the sum of the first 2959 primes?
37,529,580.