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**Stangerzv**- Replies: 0

Consider the equation below:

=Prime Sequencea=Square Root of without the decimal numbers

(A constant)

New Prime=

Where

Example:

Prime Sequence

2

3

5

7

11

13

17

19

23

Value of a

1

1

2

2

3

3

4

4

4

Value of b

1

2

1

3

2

4

1

3

7

New Prime

2

3

3

5

5

7

5

7

11

Another Larger Sequence

Prime Sequence

93703

93719

93739

93761

93763

93787

93809

Value of a

306

306

306

306

306

306

306

Value of b

67

83

103

125

127

151

173

New Prime

373

389

409

431

433

457

479

Perhaps there are lengthy new prime listing could be generated from the normal prime sequence.

Perfect Primes:

There are so far 3 groups of primes for consecutive power when n=3.

The list is given as follows:

For n<25, no apparent primes for Pt=5

For n<25, no apparent primes for Pt=6

For n<25, no apparent primes for Pt=7

Smallest solution for Pt=4, when n=3

Smallest solution for Pt=3, when n=2

Next prime when n=4

Next prime when n=6

Next prime when n=9

Next prime when n=15

Would there be primes at n=48?

From calculation n=48 would only give one prime

Smallest solution for Pt=2, when n=2;

Next solution, when Pt=2 and n=3;

Next solution, when Pt=2 and n=6;

Next solution, when Pt=2 and n=12;

Next solution, when Pt=2 and n=24;

Twin Prime of Alternate Components, consider this equation:

Where

I can do it even faster:) With a calculator!

Thanks danaj for the input. Can you list the 10 consecutive primes. Thanks again for the script.

Just found another 8 consecutive prime for range 23,000,000<prime-th <24,000,000

No apparent result bigger than 8 consecutive primes for Prime-th up to 20,000,000 for Pr=34+3s

The max number of consecutive primes for Pr=34+3s is 8 (s<13,500,000)

For Pr=34+3s

Prime-th{13155307, 13155308, 13155309, 13155310, 13155311, 13155312, 13155313, 13155314}=s={239878543, 239878571, 239878579, 239878603, 239878621, 239878649, 239878663,

239878673}

Pr={719635663, 719635747, 719635771, 719635843, 719635897, 719635981, 719636023, 719636053} Consecutive Primes