I slept and dreamt that life was joy. I awoke and saw that life was service. I acted and behold, service was joy. -Rabindranath Tagore

"If you spend too much time thinking about a thing, you'll never get it done." - Bruce Lee

"If everyone is thinking alike, then somebody isn't thinking." - George S. Patton

"If I look confused it is because I am thinking." - Sammy Goldwyn

"Faith is an oasis in the heart which will never be reached by the caravan of thinking." - Khalil Gibran

"Those who desire to rise as high as our human condition allows, must renounce intellectual pride, the omnipotence of clear thinking, belief in the absolute power of logic." - Alexis Carrel

" Thinking is more interesting than knowing, but less interesting than looking." - Johann Wolfgang von Goethe

ad infinitum

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EXCEL is wonderful! I have used my equation H=3n2+3n+1 to calculate all the hexagons in the NESTED HEXAGONS and then this algorithm to identify the PRIME NUMBERS found in the H columns:

=IF(B9=2,"Prime",IF(AND(MOD(B9,ROW(INDIRECT("2:"&ROUNDUP(SQRT(B9),0))))<>0),"Prime","Not Prime"))

Place e.g. the algorithm in a cell opposite B9 and write in B9 and then CRL + SHIFT + ENTER in the address box to activate it.

Scroll down to include all the H cells and the list will read off the PRIME cells.

See: http://www.excelexchange.com/prime_number_test.html

I have competed 1000 NESTED HEXAGONS in pretty quick time with 3,003,001 elemental hexagons. The algorithm works up to 268,435,455 – I am NOT going to the limit!!

The PRIME NUMBER (P) hit ratio is steady diminishing and has reached ~1/4, having generated 254 P’s for 1000 NESTED HEXAGONS.

This exercise was fun but of what use?

]]>What is your favorite color? Name something that suits your color.

Choose from:

Red

Orange

Yellow

Green

Blue

Indigo

Violet

Why the options are rainbow color only? Where are black, white, grey, pink, brown, and purple (slightly different than violet)?

]]>Step 3 should be replaced by the following steps:

Step3a: Shore ABCDbcd, Island -, Over a

Step3b: Shore ABCDd, Island bc, Over a

Square root of 2, 3, 5, so on...

How about √p, for p prime?

]]>Cheers, math9maniac.

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