What is the 2972nd prime number?
The 2972nd prime number is 27103. The next prime is 27107 (a gap of 4) and the one before is 27091.
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 2972nd one is 27103.
- 2
27103 is prime because no prime up to ā27103 ā 164.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2972nd prime is close to 2972 Ć ln(2972) ā 23767, and here it is 27103.
- 4
27103 has no twin: neither 27101 nor 27105 is prime.
Primes around the 2972nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2969 | 27073 | 6 |
| 2970 | 27077 | 4 |
| 2971 | 27091 | 14 |
| 2972 | 27103 | 12 |
| 2973 | 27107 | 4 |
| 2974 | 27109 | 2 |
| 2975 | 27127 | 18 |
Questions
What is the 2972nd prime number?
27103.
Which prime number is 27103?
27103 is the 2972nd prime number.
What is the sum of the first 2972 primes?
37,881,193.